A block of mass 3 m is placed on a frictionless horizontal surface, and a second

Question

A block of mass 3m is placed on a frictionless horizontal surface, and a second block of mass m is placed on top of the first block. The surfaces of the blocks are rough. A constant force of magnitude F is applied to the first block as in the figure.

(a) Construct free-body diagrams for each block. (Do this on paper. Your instructor may ask you to turn in this work.)

(b) Identify the horizontal force that causes the block of mass m to accelerate. (Do this on paper. Your instructor may ask you to turn in this work.)

(c) Assume that the upper block does not slip on the lower block, and find the magnitude of the acceleration of each block in terms of m and F.

am = a3m = A block of mass 3m is placed on a frictionless horizontal surface, and a second block of mass m is placed on top of the first block. The surfaces of the blocks are rough. A constant force of magnitude F is applied to the first block as in the figure. (a) Construct free-body diagrams for each block. (Do this on paper. Your instructor may ask you to turn in this work.) (b) Identify the horizontal force that causes the block of mass m to accelerate. (Do this on paper. Your instructor may ask you to turn in this work.) (c) Assume that the upper block does not slip on the lower block, and find the magnitude of the acceleration of each block in terms of m and F.

Explanation / Answer

here there are two blocks.

on the lower block F is to then Right and Friction f oppoto it due to right surface

and on the upper block same force is in opposite direction.

this friction casues the block of mass m to acclerate

so

net mass m = m+ 3m = 4m

so

accleraton a = F/4m

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