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ID: 1276372 • Letter: I

Question

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Two Masses, a Pulley, and an Inclined Plane Block 1, of mass m1 = 0.550kg is connected over an ideal (massless and frictionless) pulley to block 2, of mass m2, as shown. For an angle of theta = 30.0degree and a coefficient of kinetic friction between block 2 and the plane of Mu = 0.250. an acceleration of magnitude a = 0.200m/s^2 is observed for block 2. Part A Find the mass of block 2, m2. Express your answer numerically in kilograms.

Explanation / Answer

on Block m1 :

0.55g - T = 0.55 x 0.2

T = 5.28 N

on block m2 :
T   - m2g sin30 - 0.250 x m2gcos30 = m2 x 0.2
5.28 = m2( 9.8sin30 + 0.250x9.8cos30 + 0.2)
m2 =0.73 kg