ENGR 2450 Dynamics Test #3

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<p>In the gearbox, Gear 3’s radius is three times larger than Gear 2’s radius, and Gear 5’s radius is also three times larger than Gear 4’s radius. If the shaft on which Gear 2 is mounted turns at 1000 rpm, what is the speed of the shaft on which Gear 5 is mounted?</p><p>A. 1000 rpm</p><p>B. 1000/9 rpm</p><p>C. 9000 rpm</p><p>D. 1000/3 rpm</p>

In the gearbox, Gear 3’s radius is three times larger than Gear 2’s radius, and Gear 5’s radius is also three times larger than Gear 4’s radius. If the shaft on which Gear 2 is mounted turns at 1000 rpm, what is the speed of the shaft on which Gear 5 is mounted?

A. 1000 rpm

B. 1000/9 rpm

C. 9000 rpm

D. 1000/3 rpm

B. 1000/9 rpm

2
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If the coefficient of restitution of a collision is zero, which of the following is true?

A. The two bodies will move together

B. Energy is conserved

C. Momentum is not covered

D. One of the bodies will come to a stop

A. The two bodies will move together

3
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A 75-lb child running at 8 ft/s jumps onto a 5-lb sled that is at rest.  What will the speed of the sled and child together be immediately afterwards?

A. 7 ft/s

B. 7.5 ft/s

C. 8 ft/s

D. 8.5 ft/s

B. 7.5 ft/s

<p>B. 7.5 ft/s</p>
4
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<p><strong>T/F:</strong> If links <span style="font-family: Calibri, sans-serif">AB and CD are parallel, then link BC’s motion is translation only (angular velocity = 0) at this instant.</span></p>

T/F: If links AB and CD are parallel, then link BC’s motion is translation only (angular velocity = 0) at this instant.

True

<p>True</p>
5
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<p>Show the location of the instantaneous center of rotation for member AB of this mechanism.</p>

Show the location of the instantaneous center of rotation for member AB of this mechanism.

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<p><span style="font-family: Calibri, sans-serif">This wheel is subjected to a constant acceleration of 3 rad/s<sup>2</sup>, starting from rest.</span></p><p>A. <span style="font-family: Calibri, sans-serif">What is the wheel’s angular velocity (</span><span>ω</span><span style="font-family: Calibri, sans-serif">) at t = 10 s?</span><span>&nbsp; </span><span style="font-family: Calibri, sans-serif">Give your answer in revolutions per minute (rpm’s).</span></p><p>B. <span style="font-family: Calibri, sans-serif">How many revolutions will the wheel make over the 10-second period?</span></p>

This wheel is subjected to a constant acceleration of 3 rad/s2, starting from rest.

A. What is the wheel’s angular velocity (ω) at t = 10 s?  Give your answer in revolutions per minute (rpm’s).

B. How many revolutions will the wheel make over the 10-second period?

ω = 286 rpm

Revolutions = 23.9 rev

<p>ω = 286 rpm</p><p>Revolutions = 23.9 rev</p>
7
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<p><span style="font-family: Calibri, sans-serif">In this robotic arm assembly, link AB rotates at an angular velocity of 3 rad/s (counterclockwise) while link BC rotates at an angular velocity of 4 rad/s (clockwise).</span><span>&nbsp; </span><span style="font-family: Calibri, sans-serif">Find the magnitude of the velocity of point C when the links are in the positions shown.</span></p>

In this robotic arm assembly, link AB rotates at an angular velocity of 3 rad/s (counterclockwise) while link BC rotates at an angular velocity of 4 rad/s (clockwise).  Find the magnitude of the velocity of point C when the links are in the positions shown.

vc = 56.2 in/s

<p>v<sub>c</sub> = 56.2 in/s</p>
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<p><span style="font-family: Calibri, sans-serif">This wheel rolls without slipping.</span><span>&nbsp; </span><span style="font-family: Calibri, sans-serif">When the angular velocity is 4 rad/s and the angular acceleration is 5 rad/s<sup>2</sup>, find the magnitudes of the velocity and acceleration at point A.</span></p>

This wheel rolls without slipping.  When the angular velocity is 4 rad/s and the angular acceleration is 5 rad/s2, find the magnitudes of the velocity and acceleration at point A.

va = 8 ft/s

aa = 18.87 ft/s2

<p>v<sub>a</sub> = 8 ft/s</p><p>a<sub>a</sub> = 18.87 ft/s<sup>2</sup></p>
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<p><span style="font-family: Calibri, sans-serif">Crate A weighs 40 pounds and crate B weighs 200 pounds.</span><span>&nbsp; </span><span style="font-family: Calibri, sans-serif">The velocities before they collide are shown.</span><span>&nbsp; </span><span style="font-family: Calibri, sans-serif">If the coefficient of restitution of the collision is 0.50, find the velocities after the collision.</span><span>&nbsp; </span><span style="font-family: Calibri, sans-serif">Show the direction of each velocity (</span><span>← or →)</span><span style="font-family: Calibri, sans-serif">.</span></p>

Crate A weighs 40 pounds and crate B weighs 200 pounds.  The velocities before they collide are shown.  If the coefficient of restitution of the collision is 0.50, find the velocities after the collision.  Show the direction of each velocity (← or →).

Velocity of A = 1.25 ft/s ←

Velocity of B = 7.25 ft/s →

<p>Velocity of A = 1.25 ft/s ←</p><p>Velocity of B = 7.25 ft/s →</p>