Question

A 50 kg motor rests on four cylindrical rubber blocks. Each block has a height of 4 cm and a cross-sectional area of $16c{m}^2$. The shear modulus of rubber is $2\times {10}^{6}N/m^2$. A sideways force of 500 N is applied to the motor. The distance that the motor moves sideways is:

• A. 0.156 cm
• B. 1.56 cm
• C. 0.312 cm
• D. 0.214 cm

Answer 1

The correct option is A 0.156 cm

$G=\frac{F}{4A}\frac{L}{X}$
$\Rightarrow x=\frac{FL}{4AG}$