Two men are carrying a uniform bar of length | vedclass

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

Question

(A) Let $W$ be the total weight of the uniform bar acting at its center of mass,which is at a distance $L/2$ from both ends.Let $R_B$ be the load on t

Vedclass · Accepted Answer

$L / 3$

Vedclass · Answer

(A) Let $W$ be the total weight of the uniform bar acting at its center of mass,which is at a distance $L/2$ from both ends.Let $R_B$ be the load on the younger man at one end and $R_M$ be the load on the other man.Given $R_B = W/4$. Since the total load is $W$,$R_M = W - W/4 = 3W/4$.Let the other man be at a distance $d$ from the other end. The distance of the other man from the center of mass is $x = L/2 - d$.For rotational equilibrium,taking the torque about the center of mass:$R_B 	imes (L/2) = R_M 	imes x$$(W/4) 	imes (L/2) = (3W/4) 	imes x$$L/8 = 3x/4$$x = L/6$Since $x = L/2 - d$,we have $d = L/2 - L/6 = (3L - L)/6 = 2L/6 = L/3$.Thus,the distance of the other man from the other end is $L/3$.

Two men are carrying a uniform bar of length $L$ on their shoulders. The bar is held horizontally such that the younger man gets $(1/4)^{th}$ of the total load. Suppose the younger man is at one end of the bar,what is the distance of the other man from the other end?

Similar Questions

In an experiment with a beam balance,an unknown mass $m$ is balanced by two known masses of $16\, kg$ and $4\, kg$ as shown in the figure. The value of the unknown mass $m$ is ....... $kg$.

$A$ uniform rod of length $L$ and weight $W$ is suspended horizontally by two vertical ropes as shown. The first rope is attached to the left end of the rod while the second rope is attached at a distance $L/4$ from the right end. The tension in the second rope is

As shown in the figure,a person holds a book between their finger and thumb (the book is held at the corner). If the weight of the book is $W$,what is the torque exerted by the person on the book?

$A$ uniform rod of mass $15\,kg$ and length $5\,m$ is held stationary with the help of a light string as shown. The tension in the string is ......... $N.$

$A$ rod of weight $W$ is supported by two parallel knife edges $A$ and $B$ and is in equilibrium in a horizontal position. The knives are at a distance $d$ from each other. The centre of mass of the rod is at distance $x$ from $A.$ The normal reaction on $A$ is

Vedclass Test Series

Exam Paper Generator

Online Exam Module