1. As the linkage rotates, box A undergoes______ A. curvilinear translation B. g

Question

1. As the linkage rotates, box A undergoes______

A. curvilinear translation

B. general plane motion

C. pure rotation

D. linear translation

2. The number of independent scalar equations of motion that can be applie to box A is?

A. 1

B. 2

C. 3

D. 4

3. Mass moment of inertia is a mearuse of the resistance of a body to________

A. translational motion

B. impulsive motion

C. deformation

D. angular acceleration

4. If a rigid bar of length L (below) is released from rest in the horizontal position (theta=0 degress), the magnitude of its angular acceleration is at maximum when:

B. theta=90 degrees

C. theta=180 degrees

D. theta=0 degrees and 180 degrees

Please explain each one in detail, thank you for your time.

Explanation / Answer

1. the answer to number 1 is a the reasoning behind this is because it is moving on a curved path and therefore since its moving on a path it has a translation and because its an arc it is curvilinear translation
2. the answer is b because the number of independent scalar equations that can be applied to this model is only 2 due to the fact that it can only be expressed in cartesian coridnates which is (x,y) or polar cordinates which is (r,).

3. the answer is d because this is a textbook definition an is explained in a powerpoint that can be accessed by following this particular link

http://www.me.ttu.edu/files/alemayehu/lecture%20notes%20for%20section_17-1.pdf

4.the answer is b due to the fact that its maximum anguluar acceleration will be when the object has a tangetial acceleration that will be parrallel to the starting axis. this is the case because the object has its highest angular acceleration when its farthest from its inital point and being that the l value is constant it is when theta equals 90 degrees because it will then be at its furthest point. Think of it as convservation of energy, in that, potential energy is at it's maximmum when the rod is at it's initial position (theta = 0). Kinetic energy is highest at theta = 90. If angular acceleration = radius x omega(angular velocity), then the greatest acceleration is at theta = 90, where the velocity is maximum.

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