Calculate the acceleration of the block B in | vedclass

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

Question

(A) Let the acceleration of block $A$ be $a_A$ towards the left and the acceleration of block $B$ be $a_B$ towards the left. From the constraint relat

Vedclass · Accepted Answer

$a_B = \frac{F}{10 m} 	ext{ m/s}^2$

Vedclass · Answer

(A) Let the acceleration of block $A$ be $a_A$ towards the left and the acceleration of block $B$ be $a_B$ towards the left. From the constraint relation,the length of the string is $L = x_A + x_B + x_B + x_B = x_A + 3x_B$ (considering the relative motion of the pulleys). Differentiating twice with respect to time,we get $a_A = 3 a_B$. For block $A$ (mass $2m$): $F - 2T = (2m) a_A = (2m)(3 a_B) = 6m a_B$  --- $(1)$ For block $B$ (mass $4m$): $2T = (4m) a_B$ --- $(2)$ Adding equations $(1)$ and $(2)$: $F = 6m a_B + 4m a_B = 10m a_B$ Therefore,$a_B = \frac{F}{10m} 	ext{ m/s}^2$.

Calculate the acceleration of the block $B$ in the figure,assuming the surfaces and the pulleys $P_1$ and $P_2$ are all smooth and the pulleys and string are massless.

Similar Questions

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

Two blocks of same mass $4 \ kg$ are placed as shown in the diagram. The initial velocities of the blocks are $4 \ m/s$ (horizontal) and $2 \ m/s$ (downward). The string is initially taut. Find the impulse on the $4 \ kg$ block when the string again becomes taut (in $N-s$).

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:

If $m_1 = 4m_2$,what is the acceleration of $m_2$? The acceleration of $m_1$ is $a$.

If the blocks $A$ and $B$ are moving towards each other with accelerations $a$ and $b$ respectively,find the net acceleration of block $C$.

Vedclass Test Series

Exam Paper Generator

Online Exam Module