Find the acceleration of C with respect to th | vedclass

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

Question

(A) Let the acceleration of $C$ be $\vec{a}_C = c_x \hat{i} + c_y \hat{j}$.Block $A$ moves with acceleration $a$ in the $+x$ direction,so $c_x = a$.Us

Vedclass · Accepted Answer

$a \hat{i}-(2 a+2 b) \hat{j}$

Vedclass · Answer

(A) Let the acceleration of $C$ be $\vec{a}_C = c_x \hat{i} + c_y \hat{j}$.Block $A$ moves with acceleration $a$ in the $+x$ direction,so $c_x = a$.Using the constraint motion for the string connected to block $A$ and block $B$ (which moves with acceleration $b$ in the $-x$ direction),the total length of the string remains constant.Let the positions of the pulleys be such that the vertical segments of the string are affected by the relative motion of $A$ and $B$.The vertical acceleration $c_y$ of block $C$ is determined by the constraint equation: $c_y = 2a + 2b$ in the downward direction.Thus,in the ground frame,the acceleration of $C$ is $\vec{a}_C = a \hat{i} - (2a + 2b) \hat{j}$.

Find the acceleration of $C$ with respect to the ground.

Similar Questions

If block $A$ is moving with an acceleration of $5\,m/s^2$,the acceleration of $B$ with respect to the ground is:

The velocity of end $A$ of a rigid rod placed between two smooth perpendicular walls moves with velocity $u$ along the vertical direction. Find the velocity of end $B$ of the rod,given that the rod always remains in contact with the walls.

In the figure shown,the velocities of different blocks are given. The velocity of $C$ is ......... $m/s$.

$A$ thin uniform rod of length $L$ is resting against a wall and the floor as shown in the figure. Its lower end $A$ is pulled towards the left with a constant velocity $v$. Then the downward velocity $v^{\prime}$ of the other end $B$ when the rod makes an angle $\theta$ with the floor is

Two equal masses $A$ and $B$ are arranged as shown in the figure. The pulley and string are ideal and there is no friction. Block $A$ has a speed $u$ in the downward direction. The speed of the block $B$ is:

Vedclass Test Series

Exam Paper Generator

Online Exam Module