A flexible chain of mass m hangs between two | vedclass

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

Question

(A) Consider the free-body diagram of one half of the chain.The forces acting on this half are:$1$. The tension $T$ at the support point,acting at an

Vedclass · Accepted Answer

$\frac{\sqrt{3}}{2} mg$

Vedclass · Answer

(A) Consider the free-body diagram of one half of the chain.The forces acting on this half are:$1$. The tension $T$ at the support point,acting at an angle of $30^{\circ}$ with the horizontal.$2$. The tension $T_0$ at the lowest point,acting horizontally.$3$. The weight of the half-chain,which is $\frac{m}{2}g$,acting vertically downwards.For equilibrium in the vertical direction:$T \sin 30^{\circ} = \frac{m}{2}g$$T 	imes \frac{1}{2} = \frac{mg}{2} \implies T = mg$For equilibrium in the horizontal direction:$T \cos 30^{\circ} = T_0$Substituting $T = mg$:$T_0 = mg \cos 30^{\circ} = mg 	imes \frac{\sqrt{3}}{2} = \frac{\sqrt{3}}{2} mg$

$A$ flexible chain of mass $m$ hangs between two fixed points at the same level. The inclination of the chain with the horizontal at the two points of support is $30^{\circ}$. Considering the equilibrium of each half of the chain,the tension of the chain at the lowest point is . . . . . . .

Similar Questions

$A$ spherical ball of mass $m=5\,kg$ rests between two planes which make angles of $30^{\circ}$ and $45^{\circ}$ respectively with the horizontal. The system is in equilibrium. Find the normal forces exerted on the ball by each of the planes. The planes are smooth.

Write the similarities and differences between contact force and field force.

In the arrangement as shown,tension $T_2$ is ......... $N$ $\left(g=10\,m/s^2\right)$

Describe the different types of common forces.

$A$ man of mass $50 \,kg$ carries a bag of weight $40 \,N$ on his shoulder. The force with which the floor pushes up his feet will be ......... $N$.

Vedclass Test Series

Exam Paper Generator

Online Exam Module