There are two masses in the problem, the given mass M of the hanging block and t

Question

There are two masses in the problem, the given mass M of the hanging block and the unknown mass m of the block on the incline.

M = 7 kg, theta = 28, static coefficient = .75, Kinetic coefficient =.45, g = 10 m/s^2

a) What is the minimum mass m such that the block on the incline will not slip?

b) If the block on the incline is given a slight nudge, it will start to move up the incline. What acceleration will it have?

c) Find the tension in the string.

There are two masses in the problem, the given mass M of the hanging block and the unknown mass m of the block on the incline. M = 7 kg, theta = 28, static coefficient = .75, Kinetic coefficient =.45, g = 10 m/s^2 What is the minimum mass m such that the block on the incline will not slip? If the block on the incline is given a slight nudge, it will start to move up the incline. What acceleration will it have? Find the tension in the string.

Explanation / Answer

a) Fnet = m*g*sin(28) - N*mue - T = 0

Fnet = m*g*sin(28) + m*gcos(28)*mue_s - M*g = 0


m   = M*g / (g*sin(28) + g*cos(28)*mue_s)

m = 6.185 kg

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