A weight W can be hung in any of the followin | vedclass

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

Question

(A) Let the tension in the string be $T$ and the angle each segment of the string makes with the vertical be $	heta$. The vertical components of the

Vedclass · Accepted Answer

$C$

Vedclass · Answer

(A) Let the tension in the string be $T$ and the angle each segment of the string makes with the vertical be $	heta$. The vertical components of the tension must balance the weight $W$:$2T \cos 	heta = W$$T = \frac{W}{2 \cos 	heta}$As the angle $	heta$ increases,$\cos 	heta$ decreases,which causes the tension $T$ to increase.The string is most likely to break when the tension $T$ is maximum. This occurs when $\cos 	heta$ is minimum,which corresponds to the largest angle $	heta$ with the vertical.Comparing the four cases,case $C$ has the largest angle $	heta$ with the vertical. Therefore,the tension is maximum in case $C$,making it the most likely to break.

$A$ weight $W$ can be hung in any of the following four ways by a string of the same type. In which case is the string most likely to break?

Similar Questions

Two men of unequal masses hold on to the two sections of a light rope passing over a smooth light pulley. Which of the following are possible?

$A$ monkey of mass $40 \,kg$ climbs up a rope,of breaking load $600 \,N$ hanging from a ceiling. If it climbs up the rope with the maximum possible acceleration,then the time taken by the monkey to climb up is .........$s$ [Length of rope is $10 \,m$]

$A$ boy is hanging from the branch of a tree as shown. For the tension in his arms to be maximum,the angle between his arms must be ............ $^o$.

Two bodies of mass $4 \, kg$ and $6 \, kg$ are tied to the ends of a massless string. The string passes over a pulley which is frictionless (see figure). The acceleration of the system in terms of acceleration due to gravity $(g)$ is

Two weights $W_1$ and $W_2$ are tied to a massless string and passed over a pulley. If the pulley is accelerated upwards with an acceleration $g$,what will be the tension in the string?

Vedclass Test Series

Exam Paper Generator

Online Exam Module