Laws Of Motion Question 11

Question 11 - 2024 (30 Jan Shift 2)

A block of mass $m$ is placed on a surface having vertical cross section given by $y=x^{2} / 4$. If coefficient of friction is 0.5 , the maximum height above the ground at which block can be placed without slipping is:

(1) $1 / 4 m$

(2) $1 / 2 m$

(3) $1 / 6 m$

(4) $1 / 3 m$

Show Answer

Answer: (1)

Solution:

$\frac{d y}{d x}=\tan \theta=\frac{x}{2}=\mu=\frac{1}{2}$

$x=1, y=1 / 4$