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(a) What is the minimum force of friction required to hold the system of Figure

ID: 1962936 • Letter: #

Question

 

 



(a) What is the minimum force of friction required to hold the system of Figure P4.58 in equilibrium? Let w1 = 120 N and w2 = 35.0 N.
N
(b) What coefficient of static friction between the 120 N block and the table ensures equilibrium?

(c) If the coefficient of kinetic friction between the 120 N block and the table is 0.175, what hanging weight should replace the 35.0 N weight to allow the system to move at a constant speed once it is set in motion?
N

(a) What is the minimum force of friction required to hold the system of Figure P4.58 in equilibrium? Let w1 = 120 N and w2 = 35.0 N. N (b) What coefficient of static friction between the 120 N block and the table ensures equilibrium? (c) If the coefficient of kinetic friction between the 120 N block and the table is 0.175, what hanging weight should replace the 35.0 N weight to allow the system to move at a constant speed once it is set in motion? N

Explanation / Answer

(a) tension in the string T = w 2 = 35N forblock of weight w 1 , Tension is along +vedirection and frictional force is along -vedirection.If tension is equal to frictional force the system is inequilibrium. So ,required frictional force f = 35 N ( b ) .we know frictional force f = N where N =normal force = w 1 = 120 N fromthis we find coefficient of static friction between the120 N block and the table ensures equilibrium i.e., = 35.0/120 = 0.291 (c) given k = 0.175 the force of friction, f = 0.174*120 = 20.88 N if the system moving constant speed, the net force is zero, ==> T - f = 0 T = f = 20.88 N the weight acting on the black is 20.88 N.