a) Calculate the tension in the rope connecting the blocks b) Calculate the tens

Question

a) Calculate the tension in the rope connecting the blocks

b) Calculate the tension in the rope that connects block A to the wall. (use a instead of alpha)

c) Calculate the magnitude of the force that the incline exerts on each block. (use a instead of alpha)

Two blocks, each with weight w , are held in place on a frictionless incline as shown in the figure. In terms of w and the angle ? of the incline. Calculate the tension in the rope connecting the blocks Calculate the tension in the rope that connects block A to the wall. (use a instead of alpha) Calculate the magnitude of the force that the incline exerts on each block. (use a instead of alpha)

Explanation / Answer

for the rope between the blocks,it has to support the weight component of the block B along the incline

component along the incline = wsin(a)

Tension = wsin(a)

B)

lets take two blocks as a system

total weight = 2w

string has to suport the total weight component along the incline

which is 2*wsin(a)

Tension = 2wsin(a)

C)

force that is exerted on the blocks by the wall is the normal reaction

which ia reaction forceto the weight comopnent perpendicular to the incline

component perpendicular to incline = w*cos(a)

incline exerts a force of wcos(a) on each block

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