Shown from the top are six blocks sitting at rest on rotating turntables. All of

Question

Shown from the top are six blocks sitting at rest on rotating turntables. All of the turntables have the same rotation rate (the same frequency). The masses of the blocks and how far out from the center they sit varies. Specific values are given in the figures.

Which of the following statements are true about the situations depicted in the figures above? (Give ALL correct answers: B, AC, BCD.., or None )

A) The blocks in pictures C and D experience the same centripetal force
B) The net force on all the blocks is zero
C) The linear (tangential) speed of the blocks in pictures B and C is the same
D) All the blocks experience the same centripetal acceleration
E) The period of rotation of the blocks is the same in pictures A, B and E

Explanation / Answer

centripetal force = mv^2/r

v = wr

w is same

mc(wrc)^2/rc = md(wrd)^2/rd

1 x 5 = 5 x 2 this not equal so A option is not true

part b )

there net force is not zero . horizontal force is there so part b is also false

part c ) v = wr

w is same for all blocks

vb = 3w

vc = 5w

3w is not equal to 5w so this one is also false

part d ) centripetal acceleration = a = v^2/r = w^r

w is same for every block but r is different so this is also false

part e )

w = 2pi/T

T = 2pi/w

w is same for every block so this option is True

E) The period of rotation of the blocks is the same in pictures A, B and E

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