Question

Block A has a mass of 2.87 kg and block B has mass 1.98 kg. Block B is at the height ℎ = 1.50 m when the blocks are released from rest. Determine the speed of block B just before it bumps into the ground:

(a) if block A slides frictionlessly along its horizontal planet; and

(b) if the sliding friction number between block A and the ground is 0.18.

(Assume that the string and pulley have negligible masses and that the pulley can rotate free.)

B h

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Answer #1

Date Page TAL mA = 2.87 kg me = 1.98 kg h=1.5 kg h Drawing FBD of both massee AT A 119 ng for box A {fo ma T- fx=ma too box Bwhen No friction is present (a) case I fx=0 mgomat me) a = MB xg MATMB 1.98 x9.8 1.98+ 2087 a = 4 m/s Using 300 ear of motionPage (5) Case 2 when friction is present & M = 0.18 So fx- Umag = 0.18x 2.87% 9.8 fix=5.06N from Ear 6 mag - fra (mat me) 1.9

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