DYNAMICS OF RIGID BODIES Mech HW-69 Name Three ideantical rectangular blocks are

Question

DYNAMICS OF RIGID BODIES Mech HW-69 Name Three ideantical rectangular blocks are at rest o a horizontal, frictionlessice rink Fores of equal Forces of equal magnitude and direction are exerted on each of the three blocks. Each force is exerted at a different point on the block, as shown in the top view diagram below. indicates the location of the block's center of mass.) m below. (Each"X" in the diagram a. Parts i-iv refer to the instant shown in the diagram below Block I Block 2 Block 3 Top view diagram i. For each block, state whether the angular acceleration is in a clockwise sense, in a counterclockwise sense, or zero. Explain. ii. Rank the magnitudes of the angular accelerations of the blocks (n, , ). Explain.

Explanation / Answer

part 1)

torque = r x F = rF sintheta

on block 1 = clock wise

block 2 = 0 ( distance between r and F is 0 )

block 3 = anti -clock wise

part 2 )

torque = I*alpha = r*F

alpha =r*F/I

here I is same for each blokc

alpha dependes of r

r3 > r1 > r2

3 > 1 > 2

part 3 )

Block 1 will have a negative direction,

block 2 will equal zero

block 3 will have a positive direction

part 4 )

acceleration of the center of mass is same for every block.

part 4 b )

block 2 is zero because force is directly into the axis .

block 3 has maximum because torque causing rotaion

3 > 1 > 2

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