ME 101 Quiz Questions
Determine the potential energy in the spring that has an unstretched length of 4 m and is in the position, as shown 5 J 10 J 15 J 20 J
1
If the bar OA is rotating clockwise with a constant velocity and the collar slides freely, the approximate direction of the velocity of the collar will be Perpendicular to the bar Parallel to the bar Somewhere between parallel and perpendicular to the bar None of these
1
The difference between the n-t and r- theta coordinates is that: n-t coordinates can be used only if the particle travels with a constant radius r- theta coordinates can be used only if the particle travels on a path with a constant radius In the n-t coordinates, the velocity direction is tangent to the path, whereas, in the r- theta coordinates, the velocity direction may or may not be tangent to the path.
1
Which of the following statements is true? Newton's Second Law is the bridge that connects forces acting on a rigid body with its impending motion Newton's second law can be applied only to rectilinear motion. Newton's second law applies only when a single force is applied to a rigid body. In the equation ∑F = ma, the mass can be a variable
1
The 10-kg block is at rest when it's subjected to the forces shown. Determine its acceleration when t = 2 s 2 m/s2 4 m/s2 8 m/s2 10 m/s2
10 m/s^2
If the 10-kg ball has a velocity of 3 m/s when it is at the position A, along the vertical path, determine the tension in the cord at the position shown 96 N 112 N 114 N 128 N
114N
What is the acceleration of a car travelling with a constant speed of 6o mph on a curved road that has 400 ft radius? 9.00 ft/s2 12.62 ft/s2 19.36 ft/s2 36.54 ft/s2 0.0 ft/s2
19.36 ft/s^2
If cable at A is pulled 4-m, what is the distance moved by block B?
1m
Direction of the normal component of acceleration is always directed: Away from the center of rotation Towards the center of rotation Towards the tangent to the path of the motion Direction depends on the speed of the particle
2
If the bar OA is rotating clockwise with a constant velocity and the collar slides freely, the direction of the reaction force on the collar will be Towards point O Towards perpendicular to the rod Towards point A None of the above
2
If the collar is released from position A and travels without friction, what is the velocity of the collar just before it strike the spring? 3.2 m/s 7.6 m/s 9.8 m/s 12.6 m/s
2
In the following spring energy equation, what is s? Ve = 1/2 ks^2 Length of the spring Deflection of the spring Distance traveled by the spring None of the above
2
The 5-lb collar is released from rest at A and travels along the frictionless guide. Determine the speed of the collar when it strikes the stop B. The spring has an unstretched length of 0.5 ft. 12.5 ft/s 15.0 ft/s 18.4 ft/s 24.0 ft/s
2
The car has a speed of 55 ft/s. Determine the angular velocity of the radial line OA at this instant.
2
The block shown, weighs 20-lbs and slides on the smooth surface from point A2 to A1. If y1 = 10-ft and y2 = 20-ft, what is magnitude of work done by the weight of the block? 100 ft.lb 200 ft.lb 100 ft.lb -100 ft.lb - 200 ft.lb
200 ft.lb
A mail career aircraft is traveling with 200 ft/s when it drops a mail package. What will be the horizontal speed of the package when it hits the ground? Neglect the wind resistance. 200 ft/s Less than 200 ft/s More than 200 ft/s
200 ft/s
A particle starting from rest, travels with a = 5 m/s2. What is the distance traveled in 10 sec? 25 m 50 m 125 m 250 m
250m
A particle has initial velocity v0 = 10 m/s and decelerating with 2 m/s2, what is the distance traveled when it comes to a stop? 10 m 25 m 50 m 100 m
25m
A system's energy efficiency depends on: The power built in the device Anticipated energy consumption The ratio of power output to power input The ratio of power input to power output
3
An amusement park has two children's slides, A and B. Both the slides have the same height. Slide A has sinusoidal curves for more thrill, where as slide B is straight. Which slide will allow a child to land with higher velocity? Assuming the slides are smooth, and friction can be neglected. Slide A Slide B Both the same Insufficient data to draw the conclusion
3
Particle P is traveling with a constant velocity on a curved path, as shown. Which coordinate system is best suited for the motion analysis of the particle with reference to the origin O Cartesian n-t r-theta
3
The 50-kg crate, sliding down from point A has a velocity of 4 m/s. What is the speed of the crate when it arrives at point B? 3.15 m/s 4.52 m/s 8.17 m/s 9.23 m/s
3
The tangential component of the acceleration is always directed Away from the center of rotation Towards the center of rotation Towards the tangent to the path of the motion Direction depends on the speed of the particle
3
If the collar is released from from it's current position, determine the initial acceleration of the 10-kg smooth collar. The spring has an unstretched length of 1 m 2.5 m/s2 3.2 m/s2 6.4 m/s2 8.6 m/s2
3.2 m/s^2
An object is dropped from a height of 200 ft. What it is the time t in sec that it takes to reach the ground? 3.5 sec b. 7.0 sec c. 20.8 sec d. 35.6 sec
3.5s
If the red ball is spinning with a constant speed in a circular path, direction of its normal component of acceleration will be towards Point B Point A Tangent to the circle The center of the circle
4
Marble A is placed in a hollow tube, and the tube is swung in a horizontal plane causing the marble to be thrown out. As viewed from the top, which of the following choices best describes the path of the marble after leaving the tube? 1 (b) 2 (c) 3 (d) 4 (e) 5
4
Mechanical power is calculated by: The vector product of force and displacement The scalar product of force and displacement The vector product of force and velocity The scalar product of force and velocity
4
If the cable at A is pulled with the velocity of 12 m/s, what is the resulting speed of weight B? 4 m/s 8 m/s 16 m/s 36 m/s
4 m/s
If the 10-kg ball has a velocity of 3 m/s when it is at the position A, what is the magnitude of the normal component of acceleration at this position? 1.5 m/s2 2.6 m/s2 4.5. m/s2 9.5 m/s2
4.5 m/s^2
If the block at A is sliding down with the initial velocity of 1 m/s. What is its speed at point B? d = 4 m 6.3 m/s b. 7.6 m/s c. 8.4 m/s d. 10.6 m/s
6.3 m/s
If the bar OC is rotating with the angular velocity of 10 rad/s and an angular acceleration of 2 rad/s2 Find the acceleration of pin B when r = 0.5 m and the pin is sliding down along the slot with a velocity of 2 m/s and the acceleration of 4 m/s2?
8.7 m/s^2
The ball is kicked from point A with the initial velocity vA = 10 m/s. Determine the range R of the ball 1.56 m 2.42 m 6.54 m 8.83 m
8.83m
A particle has a velocity of v = 4 m/s and acceleration a = 10 m/s2. What is the distance traveled in 1 sec? 7 m 9 m 14 m 25
9m
A racecar travels around the track shown at a constant speed. At which point will the racecar have the largest acceleration? A(b) B(c) C(d ) The acceleration will be zero at all the points.
A
The system shown is released from rest in the position shown. Neglecting friction, the normal force between block A and the ground is (a) less than the weight of A plus the weight of B (b) equal to the weight of A plus the weight of B (c) greater than the weight of A plus the weight of B
A
The slope of the v-t curve at any point represents: Displacement Velocity Acceleration None of the above
Acceleration
If the plot of a-t curve is given, you can find the plot of the v-t curve by calculating the Area under the curves Slope of the curves A combination of integration and differentiation
Area under the curves
Two cars A and B race each other down a straight road. The position of each car as a function of time is shown. Which of the following statements are true? (a) At time t2 both cars have traveled the same distance (b) At time t1 both cars have the same speed (c) At some point, when t < t1, both cars have the same speed (d) Both cars have the same acceleration at some time t < t1
At some point, when t<t1, both cars will have the same speed
Determine the work done by the 500 N force if it moves the block a distance of 2 m. Assume there is no friction. Determine the work done by the 500 N force if it moves the block a distance of 2 m. Assume there is no friction. (a). 300 J (b). 600 J (c). 800 J (d). 900 J
B
The potential energy in a spring depends on the: Length of the spring b. The displacement in the spring c. Both (a) and (b) d. None of the above
B
The two systems shown start from rest. On the left, two 40 lb weights are connected by an inextensible cord, and on the right, a constant 40 lb force pulls on the cord. Neglecting all frictional forces, which of the following statements is true? (a) Blocks A and C will have the same acceleration (b) Block C will have a larger acceleration than block A (c) Block A will have a larger acceleration than block C (d) Block A will not move (e) None of the above
B
A 1000 lb boulder B is resting on a 200 lb platform A when truck C accelerates to the left with a constant acceleration. Which of the following statements is true? The tension in the cord connected to the truck is 1000 lb (b) The tension in the cord connected to the truck is 1200 lb (c) The tension in the cord connected to the truck is greater than 1200 lb (d) The normal force between A and B is 1000 lb
C
People sit on a Ferris wheel at Points A, B, C and D. The Ferris wheel travels at a constant angular velocity. At the instant shown, which person experiences the largest force from his or her chair (back and seat)? Assume you can neglect the size of the chairs, that is, the people are located the same distance from the axis of rotation. (a) A (b) B (c) C (d) D
C
In the graphical approach the area under the v-t plot represents, Change of displacement in that period Change of acceleration in that period Change of velocity in that period
Change of displacement in that period
The spring is originally compressed 3 m and is attached to a 2-kg block. Determine the velocity of the block when it is displaced 2 m to the right. Assume there is no friction. (a). 2.36 m/s (b). 3.24m/s (c). 4.62m/s (d) 6.32m/s
D
What is the potential energy of the 100-N block? 50 J b. 100 J c. 150 J d. 200 J
D
In a pulley system, if you have displacement equations of the motion of an object attached to the cables, you can find the acceleration of the objects by
Differentiating the displacement and velocity equations
If a particle is moving along a circular path with a constant speed, its acceleration will be zero.
FALSE
If the bar OA is rotating clockwise with a constant velocity and the collar slides freely, the acceleration of the collar will be zero
FALSE
If the position of a particle at any time t is zero, then the velocity must be zero as well.
FALSE
If the velocity of a particle at any time t is zero, then its acceleration must be zero.
FALSE
In the given figure, the work done by the force F from point A 1 to A2 is negative.
FALSE
In the plot shown, the position of the particle at any time represents the total distance traveled by the particle.
FALSE
In the system shown, the velocity of weight A is twice the velocity of weight B.
FALSE
Mechanical work is a vector quantity.
FALSE
The conservation of energy method is valid even if there is a friction force present in the system.
FALSE
The following equation represents the total velocity of a particle in r-theta coordinate system. vtheta = r theta dot
FALSE
The following expression represents the total velocity of a particle in r-theta coordinate system. vtheta = r theta dot
FALSE
The potential energy generated in a spring depends on its original length.
FALSE
The velocity of a particle is always positive.
FALSE
Velocity of a particle is a scalar quantity.
FALSE
When block A slides from position A2 to A1 the potential energy of the block increases
FALSE
When you stretch a spring, the work done by the force in the spring does a positive work .
FALSE
Mechanical power has the same dimensional units as the mechanical energy
Falase
Two cars are approaching an intersection at constant speed as shown. What velocity will car B appears to have to an observer in car A? A. To the right B. Down and to the right C. Up and to the left D. Up and to the right E. Down to the left
e
If a v-t curve has a period where the curve is flat (horizontal), the acceleration during that period will be zero. the displacement during that period will be zero. the velocity during that period will be zero.
the acceleration during that period will be zero.
In pulley problems, what is the first step in developing relations between the motion of weights attached to the pulley cables? -Use the constant acceleration motion equations -Measure the exact length of the pulley cables -Calculate the velocity of one weight and then relate it to the other weight -Measure the relative change in the length of the cables between the pulleys.
Measure the relative change in the length of the cables between the pulleys
Can you use the following equation if the acceleration is not constant? x=x0 +v0t +1/2 at^2
No
Mechanical work equation is a: Cross product of two vectors b. Product of force and velocity c. Scalar product of force and displacement d. None of the above
None of the above
The slope of the a-t curve at any point represents: The velocity of the particle at that point The acceleration of the particle at that point The displacement of the particle at that point None of the above
None of the above
In a pulley system, if there are two independent cables, how many independent motion equations are needed for the analysis of the motion of the weights attached to them?
One
When a projectile is fired, its horizontal velocity at the highest position of its trajectory will be Zero Same as the original value Maximum Minimum
Same as the original value
Conservation of energy method assumes that the sum of all the final potential and kinetic energies are equal to the original potential and kinetic energies
TRUE
For a conservative force system, you can use either the conservation of energy or the work-energy equation, both will work.
TRUE
Friction forces always do a negative work.
TRUE
Gravitational potential energy increases when a particle moves to higher level.
TRUE
If the bar OA is rotating clockwise in a horizontal plane with a constant velocity and the collar slides freely, the reaction force on the collar would be in the perpendicular direction to the rod
TRUE
If there is no friction between the surfaces of the collar and the rod, when the collar is dropped, the velocity of the collar will be higher at point B than point E.
TRUE
In a circular motion, you can always use both, the n-t as well as the r-theta coordinate system.
TRUE
In a non-circular curvilinear motion, you should use the r-theta coordinate system
TRUE
In a pulley system, we assume that the length of the cable/s doesn't change.
TRUE
In motion of a projectile, the velocity at the highest position of its trajectory is zero.
TRUE
Kinetics is the study of motion of a particle with consideration of force acting on it.
TRUE
Newton's Second Law of Motion is a vector equation.
TRUE
Potential energy has the same dimensional units as the mechanical work.
TRUE
Potential energy in a spring increases when the spring is stretched.
TRUE
The slope of a v-t curve is acceleration
TRUE
The velocity of a particle is equal to the slope of the x-t graph.
TRUE
When a heavy block slides on an inclined plane, the normal reaction force doesn't do any work.
TRUE
When a projectile is fired, its horizontal velocity remains unchanged throughout its trajectory.
TRUE
When the collar strikes the spring and causes maximum compression, the final potential energy of the system will be same as the original potential energy
TRUE
When you stretch a spring, the work done by the external force that stretches the spring is positive.
TRUE
Work and Energy Methods are based on Newton's second law
TRUE
You can use the graphical method in motion analysis even if the acceleration is not constant.
TRUE
When using Newton's Second Law equation for curvilinear motion, which acceleration should be used? Normal component of the acceleration Tangential component of the acceleration Total acceleration
Tangential
In motion of a projectile The acceleration is always zero The acceleration in the x-direction is zero Acceleration in the y-direction is zero Acceleration is present in both x and y-directions.
The acceleration in the x-direction is zero
Swings of the amusement park rotate with a constant speed. What is the direction of acceleration experienced by a rider? In the horizontal direction Downward Upward Towards the cable support None of the above
Towards the vertical
The Ferris wheel is rotating with a constant angular velocity w. What is the direction of the acceleration of Point A? To the right b. To the left c. Downward d. Upward
Upward
A bus travels the 100 miles between A and B at 50 mi/h and then another 100 miles between B and C at 70 mi/h. The average speed of the bus for the entire 200-mile trip is (a) more than 60 mi/h (b) equal to 60 mi/h (c) less than 60 mi/h
Less than 60 mi/h
