A mass (m1= 4 kg) slides on a rough horizontal surface with a kinetic coefficien

Question

A mass (m1= 4 kg) slides on a rough horizontal surface with a kinetic coefficient of friction uk= 0.7. A second mass (m2= 3 kg) is attached to m1 by a light string draped over a light , frictionless pulley. A force (F) is applied to m1 causing the system to move with a constant speed to the left.

(a.) What is the tension of the string ?

(b.) What is the magnitude of F?

(c) If F is removed, what coefficient of static friction would be required between the horizontal surface and m1 to keep the system from moving ?

Explanation / Answer

for the block m1

F - T - umg = ma

a = 0 ,constant velocity

F - T - .7 x 4 x 9.8 = 0..............................1

for m2

T - .7 x 3 x 9.8 = 0

T = 20.58 N

putting in 1

F = 48.02 N

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