In the figure, block 1 has mass m 1 = 440 g, block 2 has mass m 2 = 510 g, and t

Question

In the figure, block 1 has mass m1 = 440 g, block 2 has mass m2 = 510 g, and the pulley is on a frictionless horizontal axle and has radius R = 5.2 cm. When released from rest, block 2 falls 73 cm in 5.3 s without the cord slipping on the pulley. (a) What is the magnitude of the acceleration of the blocks? What are (b) tension T2 (the tension force on the block 2) and (c) tension T1 (the tension force on the block 1)? (d) What is the magnitude of the pulley’s angular acceleration? (e) What is its rotational inertia? Caution: Try to avoid rounding off answers along the way to the solution. Useg = 9.81 m/s2.

All I need is part E, the answers for A-D are

A) .05198 m/s^2

B) 4.97 N

C) 4.339 N

D) .99962 rad/s^2

Explanation / Answer

e)

here by using the formula

(T2-T1) * R = I * (a/R)

a/R = alpha = angular acceleration

I = (T2 - T1) * R / alpha

put the values that are given

I = (4.97 - 4.339 ) * 0.052 / 0.99962 = 0.0328 kg m^2

the rotational inertia is 0.0328 kgm^2

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