First slide
Friction on inclined plane of angle more than angle of repose
Question

Blocks A ard B in the figure are connected by a bar of negligible weight. Mass of each block is 170 kg and μA = 0.2 and μB = 0.4 ,  where μA and μB  are the coefficients of limiting friction between blocks and plane, calculate the force developed in the bar (g = 10 m/sec2):

Moderate
Solution

If the plane makes an angle θ with horizontal

tan θ = 815 If R is the normal reaction

R = 17g cos θ = 170×10×(1517) = 1500 N

Force of friction on A = 1500 ×0.2 = 300 N

Force on friction on B = 1500 ×0.4 = 600 N

Considering the two blocks as a system, the net force parallel to the plane

2×170g sin θ - 300 - 600 = 1600-900= 700 N

 Acceleration = 700340 = 3517 m/s2

Consider the motion of A alone.

170g sin θ sin θ -300-P = 170×3517

(where P is pull on the bar)

P = 500-350 = 150 N

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