The velocities of A and B are marked in the f | vedclass

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

Question

From the figure

$l_{1}+l_{2}+l_{3}+l_{4}=$ constant

if block B moved by $X_{1}$ and block A moved by $X_{2}$ then $-$ moves down by $X_{4}$ and

Vedclass · Accepted Answer

$5$

Vedclass · Answer

From the figure

$l_{1}+l_{2}+l_{3}+l_{4}=$ constant

if block B moved by $X_{1}$ and block A moved by $X_{2}$ then $-$ moves down by $X_{4}$ and $l_{3}$ remain same)

Now $-\left(l_{1}-\left(X_{1}-X_{2}\right)\right)+l_{2}-\left(X_{1}-X_{2}\right)+l_{3}+\left(l_{4}+X_{4}\right)=\left(l_{1}+l_{2}+l_{3}+l_{4}\right)$

$\left(X_{1}+X_{2}\right)$ taken by the relative change in the position $\left(l_{1}+l_{2}-2\left(X_{1}-X_{2}\right)\right)+l_{3}+l_{4}+x_{4}=l_{1}+l_{2}+l_{3}+l_{4}$

$\rightarrow-2\left(X_{1}-X_{2}\right)=-X_{4}$

thus $X_{4}=2\left(X_{1}-X_{2}\right)$

derivate with respect to time

$\frac{d x_{4}}{d t}=2\left(\frac{d x_{1}}{d t}-\frac{d x_{2}}{d t}\right)$

$V_{4}+2\left(V_{1}-V_{2}\right)=2(3-1)=4 m / s$

because - block $'c'$ is also in th contact with $B.$

so the net velocity of the block $c$

$\vec{V}_{c}=-3 \hat{i}-4 \hat{j}$

speed $=\left|\vec{V}_{c}\right|=\sqrt{3^{2}+4^{2}}=5 m / s$

The velocities of $A$ and $B$ are marked in the figure. The velocity of block $C$ is ......... $m/s$ (assume that the pulleys are ideal and string inextensible)

Similar Questions

The end $B$ of the rod $AB$ which makes angle $\theta$ with the floor is being pulled with, a constant velocity $v_0$ as shown. The length of the rod is $l.$ At the instant when $\theta = 37^o $ then

In the arrangement shown in figure the ends $P$ and $Q$ of an unstretchable string move downwards with uniform speed $ U$. Pulleys $A$ and $B$ are fixed. Mass $M$ moves upwards with a speed

In the arrangement shown in the fig, the block of mass $m=2\,kg$ lies on the wedge on mass $M=8\,kg$. Find the initial acceleration of the wedge if the surfaces are smooth and pulley and strings are massless.

Three blocks of masses $m_1=4 \,kg , m_2=2 \,kg , m_3=4 \,kg$ are connected with ideal strings passing over a smooth. massless pulley as shown in figure. The acceleration of blocks will be ......... $m / s ^2$ $\left(g=10 \,m / s ^2\right)$

Find the velocity of the hanging block if the velocities of the free ends of the rope are as indicated in the figure.