Question

A 25-kg television set rests on four rubber pads that are on the floor, each one having a height of 1.0 cm and a radius of 0.60 cm. A horizontal force is applied to the television set. When the pads are just at the point of sliding over the floor, how far has the television set moved sideways due to the deformation of the pads? The coefficient of static friction between the rubber and the floor is 1.0 and the shear modulus of these rubber pads is 2.6 × 106 Pa.

A. 8.4 mm

B. 16 mm

C. 4.2 mm

D. 2.1 mm

E. 1.1 mm

Answer 1

Concept - use the relation between shearing stress and shearing strain to find the movement of TV set sideways by using the mass of the TV to find the force and area of pads and the height of each pad. The force will be divided among the four pads equally.

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