A block of weight W is kept on a rough horizo | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(D) First, analyze the forces acting on the block in the vertical direction to find the normal force $N$:$N = W + \frac{W}{2} - \frac{W}{2} \sin(30^\c

Vedclass · Accepted Answer

For $\mu < \frac{\sqrt{3}}{5}$, the block will move.

Vedclass · Answer

(D) First, analyze the forces acting on the block in the vertical direction to find the normal force $N$:$N = W + \frac{W}{2} - \frac{W}{2} \sin(30^\circ) = W + \frac{W}{2} - \frac{W}{4} = \frac{5}{4} W$.Next, analyze the forces in the horizontal direction. The driving force is $F_x = \frac{W}{2} \cos(30^\circ) = \frac{W}{2} \cdot \frac{\sqrt{3}}{2} = \frac{\sqrt{3} W}{4}$.The limiting friction force is $f_L = \mu N = \mu \cdot \frac{5}{4} W$.The block will move if the driving force is greater than the limiting friction force, i.e., $F_x > f_L$.$\frac{\sqrt{3} W}{4} > \mu \cdot \frac{5}{4} W \Rightarrow \mu Therefore, if $\mu < \frac{\sqrt{3}}{5}$, the block will move. If the block does not move, the work done by static friction is zero. Thus, option $D$ is correct.

$A$ block of weight $W$ is kept on a rough horizontal surface (friction coefficient $\mu$). Two forces of magnitude $W/2$ each are applied as shown in the figure. Choose the $\text{CORRECT}$ statement:

Similar Questions

$A$ body of mass $10 \,kg$ is kept on a horizontal surface. The coefficient of kinetic friction between the body and the surface is $0.5$. $A$ horizontal force of $60 \,N$ is applied on the body. The resulting acceleration of the body is about

$A$ spring-block system is placed on a rough horizontal floor. The block is pulled towards the right to give the spring some elongation and then released. The block will have maximum velocity when:

$A$ man slides down a telegraphic pole with an acceleration equal to one-fourth of the acceleration due to gravity. The frictional force between the man and the pole is equal to which of the following in terms of the man's weight $w$?

In the given figure,the acceleration of the block of mass $M = \frac{10}{3} \, kg$ is (given $g = 10 \, ms^{-2}$,$\mu = \frac{1}{3}$,$F = 50 \, N$,and $\theta = \sin^{-1}(\frac{3}{5})$):

Vedclass Test Series

Exam Paper Generator

Online Exam Module