A block is dragged on a smooth plane with the | vedclass

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

Question

(B) Let the horizontal distance of the block from the pulley be $x$ and the length of the rope from the block to the pulley be $y$. Let the vertical h

Vedclass · Accepted Answer

$\frac{v}{\sin 	heta}$

Vedclass · Answer

(B) Let the horizontal distance of the block from the pulley be $x$ and the length of the rope from the block to the pulley be $y$. Let the vertical height of the pulley from the plane be $h$.From the geometry of the right-angled triangle formed,we have $x^2 + h^2 = y^2$.Differentiating both sides with respect to time $t$,we get:$2x \frac{dx}{dt} + 0 = 2y \frac{dy}{dt}$.Here,$\frac{dx}{dt}$ is the horizontal velocity of the block $(v_b)$ and $\frac{dy}{dt}$ is the rate at which the length of the rope decreases,which is equal to the velocity of the rope $v$.So,$x v_b = y v$.$v_b = \frac{y}{x} v$.From the figure,$\cos 	heta = \frac{h}{y}$ and $\sin 	heta = \frac{x}{y}$.Therefore,$\frac{y}{x} = \frac{1}{\sin 	heta}$.Substituting this into the expression for $v_b$,we get $v_b = \frac{v}{\sin 	heta}$.

$A$ block is dragged on a smooth plane with the help of a rope which moves with a velocity $v$ as shown in the figure. The horizontal velocity of the block is

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

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

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

$A$ rod of length $L$ leans against a smooth vertical wall while its other end is on a smooth floor. The end that leans against the wall moves uniformly vertically downward. Select the correct alternative.

$A$ block $Q$ of mass $M$ is placed on a horizontal frictionless surface $AB$ and a body $P$ of mass $m$ is released on its frictionless slope. As $P$ slides by a length $L$ on this slope of inclination $\theta$,the block $Q$ would slide by a distance:

Vedclass Test Series

Exam Paper Generator

Online Exam Module