figure, block 1 has mass m1 = 438 g black 2 has mass m2 = 540 g and the pulley i

Question

figure, block 1 has mass m1 = 438 g black 2 has mass m2 = 540 g and the pulley is on a frictionless horizontal a e and has radius R = 5.08 cm when released from rest block 2 falls 71.4 cm in 5.29 s without the cord slippin the pulley. (a) What is the magnitude of the acceleration of the blacks? What are (b) tension T2 (the tension force on the block 2) and (c) tension T, (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. Use g-9.81 m/s2 m1 ITn

Explanation / Answer

(A) d = v0 t + a t^2 / 2

0.714 = 0 + a(5.29^2)/2

a = 0.051 m/s^2

(b) on m2:

m2 g - T2 = m2 a

T2 = (0.540)(9.81 - 0.051) = 5.27 N

(c) on m1: T1 - m1g = m1 a

T1 = 4.32 N

(d) alpha = a / R = 1 rad/s^2

(e) net torque = I alpha

0.0508 (T2 - T1) = I

I = 0.95 kg m^2

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