As shown in the figure,a block of mass sqrt{3 | vedclass

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

Question

(B) Let the applied force be $F$. The horizontal component of the force is $F \cos 60^{\circ}$ and the vertical component is $F \sin 60^{\circ}$.The n

Vedclass · Accepted Answer

$10$

Vedclass · Answer

(B) Let the applied force be $F$. The horizontal component of the force is $F \cos 60^{\circ}$ and the vertical component is $F \sin 60^{\circ}$.The normal reaction $N$ on the block from the surface is given by balancing vertical forces:$N = mg + F \sin 60^{\circ}$Given $m = \sqrt{3} 	ext{ kg}$ and $g = 10 	ext{ m/s}^2$,so $mg = 10\sqrt{3} 	ext{ N}$.$N = 10\sqrt{3} + F \left( \frac{\sqrt{3}}{2} ight)$The limiting friction force is $f_L = \mu N = \frac{1}{3\sqrt{3}} \left( 10\sqrt{3} + \frac{F\sqrt{3}}{2} ight) = \frac{10}{3} + \frac{F}{6}$.For the block to just move,the horizontal component of the applied force must equal the limiting friction:$F \cos 60^{\circ} = f_L$$F \left( \frac{1}{2} ight) = \frac{10}{3} + \frac{F}{6}$Multiply by $6$ to simplify:$3F = 20 + F$$2F = 20 \Rightarrow F = 10 	ext{ N}$.The question asks for the value of $3x$,where $F = 3x$.$3x = 10$.

Similar Questions

Write the unit of the coefficient of static friction.

$A$ block of mass $m$ lying on a rough horizontal plane is acted upon by a horizontal force $P$ and another force $Q$ inclined at an angle $\theta$ to the vertical. The minimum value of the coefficient of friction between the block and the surface for which the block will remain in equilibrium is

$A$ $10\, kg$ block is placed on a horizontal surface as shown. If an external horizontal force $F = 50\, N$ is applied,find the friction force acting on the block. (Take $g = 10\, m/s^2$)

$A$ person is using scissors to cut a wire of circular cross-section and negligible weight. The wire slides in the direction away from the hinge until the angle between the scissors blades becomes $2 \alpha$. The friction coefficient between the blades and the wire is:

The limiting value of static friction between two contact surfaces is ...........

Vedclass Test Series

Exam Paper Generator

Online Exam Module