Two bodies of masses m_{1}=5,kg and m_{2}=3,k | vedclass

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

Question

(B) For the system to be at rest (equilibrium),the tension $T$ in the string must balance the weight of $m_{2}$ and the component of weight of $m_{1}$

Vedclass · Accepted Answer

$40$

Vedclass · Answer

(B) For the system to be at rest (equilibrium),the tension $T$ in the string must balance the weight of $m_{2}$ and the component of weight of $m_{1}$ along the incline.$T = m_{2}g$$T = m_{1}g \sin 	heta$Equating the two,we get $m_{2}g = m_{1}g \sin 	heta$,which implies $\sin 	heta = \frac{m_{2}}{m_{1}} = \frac{3}{5}$.Since $\sin 	heta = \frac{3}{5}$,we have $\cos 	heta = \sqrt{1 - \sin^2 	heta} = \sqrt{1 - (\frac{3}{5})^2} = \frac{4}{5}$.The force exerted by the inclined plane on the body of mass $m_{1}$ is the normal force $N$,which balances the component of weight perpendicular to the incline:$N = m_{1}g \cos 	heta$Substituting the values: $N = 5 	imes 10 	imes \frac{4}{5} = 40\,N$.

Two bodies of masses $m_{1}=5\,kg$ and $m_{2}=3\,kg$ are connected by a light string going over a smooth light pulley on a smooth inclined plane as shown in the figure. The system is at rest. The force exerted by the inclined plane on the body of mass $m_{1}$ will be $....N$ [Take $g=10\,ms^{-2}$]

Similar Questions

$A$ body of mass $10 \ kg$ moves a distance of $10 \ m$ with a constant velocity on a smooth inclined plane of angle $\theta = 30^\circ$. Calculate the work done by the force acting on the body in $J$. $[g = 10 \ m/s^2]$

The time taken by a block of wood (initially at rest) to slide down a smooth inclined plane $9.8 \ m$ long (angle of inclination is $30^o$) is ......... $sec$.

$A$ solid sphere,a hollow sphere,and a ring are released from the top of a frictionless inclined plane,causing them to slide down the plane. For which object is the acceleration down the plane the maximum?

Given $M_1 = 10 \ kg$,$M_2 = 5 \ kg$,$\theta = 30^o$,and $g = 10 \ m/s^2$. What is the acceleration of the system?

Vedclass Test Series

Exam Paper Generator

Online Exam Module