The tension T in the string shown in the figu | vedclass

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

Question

(A) Given: Mass $m = 10\,kg$,coefficient of friction $\mu = 0.7$,angle $	heta = 30^\circ$,and take $g = 10\,m/s^2$.The component of weight acting dow

Vedclass · Accepted Answer

Zero

Vedclass · Answer

(A) Given: Mass $m = 10\,kg$,coefficient of friction $\mu = 0.7$,angle $	heta = 30^\circ$,and take $g = 10\,m/s^2$.The component of weight acting down the incline is $mg\,\sin\,	heta = 10 	imes 10 	imes \sin(30^\circ) = 100 	imes 0.5 = 50\,N$.The normal force is $N = mg\,\cos\,	heta = 10 	imes 10 	imes \cos(30^\circ) = 100 	imes \frac{\sqrt{3}}{2} = 50\sqrt{3}\,N$.The maximum static friction (limiting friction) is $f_{max} = \mu N = 0.7 	imes 50\sqrt{3} = 35\sqrt{3}\,N$.Since $\sqrt{3} \approx 1.732$,$f_{max} \approx 35 	imes 1.732 = 60.62\,N$.Since the force tending to move the block down the incline $(50\,N)$ is less than the maximum static friction $(60.62\,N)$,the block will not move.Therefore,the static friction force $f$ will balance the component of weight,and the tension $T$ in the string will be zero.

The tension $T$ in the string shown in the figure is:

Similar Questions

Why are some genetic disorders not eliminated from the gene pool despite being harmful?

The figure shows the vertical section of a frictionless surface. $A$ block of mass $2\, kg$ is released from position $A$. Its kinetic energy $(KE)$ as it reaches position $C$ is ................ $J$.

Which property of hydrogen distinguishes it from alkali metals?

Which one of the following statements is not correct?

Nitrobenzene on reduction using zinc in alkaline medium results in $X$. The number of $\sigma$ and $\pi$ bonds in $X$ is

Vedclass Test Series

Exam Paper Generator

Online Exam Module