As shown in the figure below, two blocks are connected by a string of negligible

Question

As shown in the figure below, two blocks are connected by a string of negligible mass passing over a pulley of radius 0.160 m and moment of inertia I. The block on the frictionless incline is moving with a constant acceleration of magnitude a = 1.40 m/s2. (Let m1 = 13.5 kg, m2 = 20.0 kg, and = 37.0°.) From this information, we wish to find the moment of inertia of the pulley.

particle under constant acceleration   

(b) What analysis model is appropriate for the pulley?

particle under constant angular acceleration

(c) From the analysis model in part (a), find the tension T1.

(d) From the analysis model in part (a), find the tension T2.

I= ((T2-T1)r^2)/a

(f) Find the numerical value of the moment of inertia of the pulley.

Explanation / Answer

m2*g - T2 = m2*a T1 - m1 * g * sin 37 = m1*a subtituing given values we get T2 = 168N T1 = 98.52N I = (T2-T1)r^2/a = 1.27kg-m^2

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