MHT CET 2020 19th October Evening Shift | Rotational Motion Question 87 | Physics

Three points masses, each of mass $m$ are placed at the corners of an equilateral triangle of side $\ell$. The moment of inertia of the system about an axis passing through one of the vertices and parallel to the side joining other two vertices, will be

$\frac{3}{4} m \ell^2$

$\frac{1}{4} m \ell^2$

$\frac{3}{2} m \ell^2$

$\frac{1}{2} m \ell^2$

MHT CET 2020 19th October Evening Shift

MCQ (Single Correct Answer)

-0

A rope is wound around a solid cylinder of mass 1 kg and radius 0.4 m . What is the angular acceleration of cylinder, if the rope is pulled with a force of 25 N ? (Cylinder is rotating about its own axis.)

$125 \mathrm{~rad} / \mathrm{s}^2$

$10 \mathrm{~rad} / \mathrm{s}^2$

$1 \mathrm{~rad} / \mathrm{s}^2$

$50 \mathrm{~rad} / \mathrm{s}^2$

MHT CET 2020 19th October Evening Shift

MCQ (Single Correct Answer)

-0

Two circular loop $A$ and $B$ of radii $R$ and $N R$ respectively are made from a uniform wire. Moment of inertia of $B$ about its axis is 3 times that of $A$ about its axis. The value of $N$ is

$[2]^{\frac{1}{3}}$

$[5]^{\frac{1}{3}}$

$[3]^{\frac{1}{3}}$

$[4]^{\frac{1}{3}}$

MHT CET 2020 16th October Evening Shift

MCQ (Single Correct Answer)

-0

A body slides down a smooth inclined plane having angle $$\theta$$ and reaches the bottom with velocity $$v$$. If a body is a sphere, then its linear velocity at the bottom of the plane is

$$\sqrt{\frac{9}{7}} v$$

$$\sqrt{\frac{5}{7}} v$$

$$\sqrt{\frac{2}{7}} v$$

$$\sqrt{\frac{3}{7}} v$$

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