Question

A truck is carry a box of mass $m=50kg$ on its flat horizontal rough surface with coefficient of friction $\mu =0.3$ It is crossing a circular track of radius $27m$ What is the maximum speed of the truck so that the box does not slide from the truck while moving on the circular path?

• A. $18km/hr$
• B. $36km/hr$
• C. $32.4km/hr$
• D. None of these

Answer 1

Answer: (C)

F.B.D. of the particle in truck travel

Here $\frac{m{v}^2}{R}=\mu mg$

$v^2=\mu mg$

$R=0.3\times 50\times 10\times 27$

$v=45\sqrt{2}m/s$