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Friction

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(Please refer attachment for fig)

The cart shown starts from rest and rolls down the slope. For each wheel Ic = 0.8 ft-lb-s^2, weight 30 lb. and diameter 32 in. The body of the cart weighs 60 lb. Assuming no slipping and neglecting friction at the axles, determine the a) acceleration of the cart down the slope, b) minimum coefficient of friction required to assure no slipping.

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Solution Summary

A cart rolling down a slope. To determine acceleration and coefficient of friction of the slope.

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Please refer to the attachment.

Above fig. shows all the forces acting on the cart. N is the normal reaction of the inclined plane on the cart. f is the frictional force acting on each wheel.

Normal reaction N = 56.4 + 4 x 28.2 = 169 lb

Frictional force on each wheel = f = ¼ x μ x N = ¼ x μ x 169 = ...

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