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Question

 A wheel of unknown mass and known radius R is used in a lab experiment as shown in the figure. A

String is attached to the wheel and wrapped around it several times, and a small block of mass m is attached to the free end of the string. The block is released from rest and takes a time t to fall the distance D to the floor.


a) In terms of the given quantities and constants, calculate the following

i. The linear acceleration a of the falling block

ii. The angular acceleration α of the wheel as the block falls

iii. The tension T in the string as the block falls

iv. The torque τ on the wheel as the block falls

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(ii)
angular accelocation of of the wheel
d =
R ( m t m
(1) Tension T in the
string as the block falls
T = - Ma
2
( using equ " (4
T = T
M
m t m
2
(in) The torque I on the wheel as the block...

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