Objects ofmasses m1, = 3.50 kg and m2 = 9.50 kg are connected by alight string t

Question

Objects ofmasses m1, = 3.50 kg and m2 = 9.50 kg are connected by alight string that

passesover a frictionless pulley as shown in the figure below. The objectm1, is held

at rest onthe floor and m2, rests on a fixed incline of e =43.0°. The objects are then

releasedfrom rest, and m2 slides 1.00 m down the incline in 4.25 s.Determine (a) the

magnitudeof the acceleration of each object, (b) the magnitude of thetension in the

Explanation / Answer

the acceleration of the block 2 is       a = 2s / t          = 2 * 1 /4.25          = 0.685m/s2 this is the acceleration of two blocks For block 1 we can write         T - m1g = m1a For block 2 we have        m2gsin -km2gcos - T = m2a ==> m2gsin -km2gcos -m1 [a + g] =m2a ==>      m2gsin - m2a - m1 [a + g] =km2gcos ==> k = [m2gsin -m2a - m1 [a + g]] /m2gcos               = [9.5*9.8*sin43 - 9.5*0.685 - 3.5 [ 0.685+9.8] ] /9.5*9.8*cos43               = 0.298       I hope this helps you.

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