Question

A block of mass M1=0.640 kgM_1=0.640 \mathrm{~kg} is initially at rest on a cart of mass M2=0.320 kgM_2=0.320 \mathrm{~kg} with the cart initially at rest on a level air track. The coefficient of static friction between the block and the cart is μs=0.620\mu_{\mathrm{s}}=0.620, but there is essentially no friction between the air track and the cart. The cart is accelerated by a force of magnitude FF parallel to the air track. Estimate the maximum value of FF that allows the block to accelerate with the cart, without sliding on top of the cart.

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In this problem, a block of mass M1=0.64 kgM_1=0.64 \text{ kg} is on top of a cart of mass M2=0.32 kgM_2 = 0.32 \text{ kg} on top of a frictionless air track as shown in the simplified figure shown in the figure below. The coefficient of static friction between the block and the cart is μs=0.62\mu_s = 0.62. Our objective is to determine the maximum horizontal force FF applied on the cart, without the block sliding.

To do this, we must draw the individual free-body diagram for each of the blocks and analyze their respective summation of forces.

'slader'

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