A block of mass 2,kg hangs from the rim of a | vedclass

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

Question

(D) Given: Mass of block $m = 2\,kg$,radius of wheel $R = 0.5\,m$,distance $S = 5\,m$,time $t = 2\,s$,initial velocity $u = 0$,acceleration due to gra

Vedclass · Accepted Answer

$1.5$

Vedclass · Answer

(D) Given: Mass of block $m = 2\,kg$,radius of wheel $R = 0.5\,m$,distance $S = 5\,m$,time $t = 2\,s$,initial velocity $u = 0$,acceleration due to gravity $g = 10\,m/s^2$.Using the equation of motion $S = ut + \frac{1}{2}at^2$:$5 = 0 + \frac{1}{2} \cdot a \cdot (2)^2$$5 = 2a \implies a = 2.5\,m/s^2$.The acceleration of a block hanging from a wheel is given by $a = \frac{g}{1 + \frac{I}{mR^2}}$.Substituting the values:$2.5 = \frac{10}{1 + \frac{I}{2 \cdot (0.5)^2}}$$1 + \frac{I}{2 \cdot 0.25} = \frac{10}{2.5}$$1 + \frac{I}{0.5} = 4$$\frac{I}{0.5} = 3$$I = 3 \cdot 0.5 = 1.5\,kg \cdot m^2$.

$A$ block of mass $2\,kg$ hangs from the rim of a wheel of radius $0.5\,m$. On releasing from rest,the block falls through $5\,m$ height in $2\,s$. The moment of inertia of the wheel will be ...... $kg \cdot m^2$.

Similar Questions

$A$ rod of mass $m$ and length $l$ is rotated about one of its ends with an angular velocity $\omega$. What is the tension in the rod at a distance $x$ from the axis of rotation?

In the rotational motion of a rigid body,all particles of the body have

What is the value of linear velocity if $\overrightarrow{r} = 3\widehat{i} + 4\widehat{j} + 6\widehat{k}$ and $\overrightarrow{\omega} = -5\widehat{i} + 3\widehat{j} + 5\widehat{k}$?

Write the change in magnitude and direction of angular velocity with respect to time for a body rotating about a fixed axis.

$A$ uniform rod is rotating in a gravity-free region with a certain constant angular velocity $\omega$. The variation of tensile stress $\sigma$ with distance $x$ from the axis of rotation is best represented by which of the following graphs?

Vedclass Test Series

Exam Paper Generator

Online Exam Module