If the acceleration of block A is 2,m/s^2 to | vedclass

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(C) Let the positions of blocks $A$, $B$, and $C$ be $x_A$, $x_B$, and $y_C$ respectively. The total length of the string $L$ is constant.From the geo

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$1.5\,m/s^2$ upwards

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(C) Let the positions of blocks $A$, $B$, and $C$ be $x_A$, $x_B$, and $y_C$ respectively. The total length of the string $L$ is constant.From the geometry of the system, the length of the string is $L = (x_0 - x_A) + (x_0 - x_B) + 2y_C + 	ext{constant}$, where $x_0$ is the horizontal position of the fixed pulleys.Differentiating with respect to time twice, we get the constraint relation for accelerations:$-a_A - a_B + 2a_C = 0$Given $a_A = 2\,m/s^2$ (left) and $a_B = 1\,m/s^2$ (left), we treat these as positive values in the direction of motion towards the center.$2 + 1 = 2a_C$$3 = 2a_C$$a_C = 1.5\,m/s^2$ upwards.Thus, the correct option is $(C)$.

If the acceleration of block $A$ is $2\,m/s^2$ to the left and the acceleration of block $B$ is $1\,m/s^2$ to the left, then find the acceleration of block $C$.

Similar Questions

If the acceleration of $A$ is $2 \, m/s^2$ to the left and the acceleration of $B$ is $1 \, m/s^2$ to the left, then the acceleration of $C$ is

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

What is the acceleration of block $B$ for the given system?

All surfaces shown in the figure are assumed to be frictionless, and the pulleys and the string are light. The acceleration of the block of mass $2 \,kg$ is:

Find the acceleration of $B$.

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