Hey both of these questions are the same with different numbers. Thanks! 1. A 0.
ID: 1550459 • Letter: H
Question
Hey both of these questions are the same with different numbers. Thanks!
1. A 0.40 kg yo-yo consists of two solid disks of radius 5.70 cm joined together by a massless rod of radius 1.0 cm and a string wrapped around the rod. One end of the string is held fixed and is under constant tension T as the yo-yo is released.
(a) Find the acceleration of the yo-yo.
----- m/s2
(b) Find the tension T.
----- N
2. A 0.30 kg yo-yo consists of two solid disks of radius 7.30 cm joined together by a massless rod of radius 1.0 cm and a string wrapped around the rod. One end of the string is held fixed and is under constant tension T as the yo-yo is released.
(a) Find the acceleration of the yo-yo.
-----m/s2
(b) Find the tension T.
-----N
Explanation / Answer
the net force F = m * a
M * g - T = M * a
(0.4 * 9.8) - T = 0.4 * a-----------------(1)
Also net torque = I * alpha
T * R = (M * R^2) * ( a / R)
T = M * a
T = 0.4 * a--------------(2)
solving equation (1) and (2)
acceleration a = 4.9 m/s^2
tension T = 1.96 N
2)
M * g - T = M * a
(0.3 * 9.8) - T = 0.3 * a-----------------(1)
Also net torque = I * alpha
T * R = (M * R^2) * ( a / R)
T = M * a
T = 0.3 * a--------------(2)
solving equation (1) and (2)
acceleration a = 4.9 m/s^2
tension T = 1.47 N