Question

in the figure shown calculate the angle of friction the block is just about to slide page is equal to 10 M per second

Answer 1

first of all, we should find coefficient of friction. because angle of friction, , where is coefficient of friction.

horizontal component of 100N = 100cos37° = 100 × 4/5 = 80N

vertical component of 100N = 100sin37°

= 100 × 3/5 = 60N

now, in horizontal direction

at equilibrium,

fr = horizontal component of 100N

or, F = 80 , here F is normal reaction between block and surface.

in vertical direction

at equilibrium,

F = weight of body + vertical component of 100N

= 10 kg × 10m/s² + 60N

= 160N

now, × 160 = 80

or, = 1/2

now angle of friction = tan^-1(1/2) = 26.57°

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