If F → be a force acting on a particle having the position vector r → and τ → be the torque of this force about the origin. Then

r → · τ → = 0 and F → · τ → = 0

r → × τ → = 0 and F → × τ → ≠ 0

r → × τ → ≠ 0 and F → × τ → ≠ 0

r → × τ → ≠ 0 and F → × τ → = 0

r → × τ → ≠ 0 and r → · τ → ≠ 0

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A semicircular ring of the radius $0.5 m$ is given in the diagram. The location of centre of mass on its line of symmetry above its base will be:-

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Important Questions on Rotational Mechanics

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Beta Question Bank for Medical: Physics>Chapter 10 - Rotational Mechanics>Exercise (Previous Year Questions)>Q 4

Which of the following is true about the angular momentum of a cylinder rolling down a slope without slipping?

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Beta Question Bank for Medical: Physics>Chapter 10 - Rotational Mechanics>Exercise (Previous Year Questions)>Q 5

A sphere and a disc of the same radii and mass are rolling on an inclined plane without slipping.

a_{s}

and

a_{d}

are acceleration and

g

is the acceleration due to gravity. Then which statement is correct?

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Beta Question Bank for Medical: Physics>Chapter 10 - Rotational Mechanics>Exercise (Previous Year Questions)>Q 6

If a street light of mass

M

is suspended from the end of a uniform rod of length

L

in the different possible patterns as shown in the figure, then:-
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Beta Question Bank for Medical: Physics>Chapter 10 - Rotational Mechanics>Exercise (Previous Year Questions)>Q 7

A uniform rod $A B$ of length $l$ and mass $m$ is free to rotate about $A$ . The rod is released from rest in the horizontal position. Given that the moment of inertia of the rod about $A$ is $\frac{m l^{2}}{3}$ , the initial angular acceleration of the rod will be:-
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Beta Question Bank for Medical: Physics>Chapter 10 - Rotational Mechanics>Exercise (Previous Year Questions)>Q 8

Four identical thin rods, each of mass

M

and length

l

, form a square frame. The moment of inertia of this frame about an axis through the centre of the square and perpendicular to its plane is,

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Beta Question Bank for Medical: Physics>Chapter 10 - Rotational Mechanics>Exercise (Previous Year Questions)>Q 9

\vec{F}

be a force acting on a particle having the position vector

\vec{r}

and

\vec{τ}

be the torque of this force about the origin. Then

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Beta Question Bank for Medical: Physics>Chapter 10 - Rotational Mechanics>Exercise (Previous Year Questions)>Q 10

A thin circular ring of mass

M

and radius

R

is rotating in a horizontal plane about an axis vertical to its plane with a constant angular velocity

ω

. If two objects each of mass

m

be attached gently to the opposite ends of a diameter of the ring, the ring will then rotate with an angular velocity:

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Beta Question Bank for Medical: Physics>Chapter 10 - Rotational Mechanics>Exercise (Previous Year Questions)>Q 11

The instantaneous angular position of a point on the rotating wheel is given by the equation,

θ (t) = (2 t^{3} - 6 t^{2}) .

The torque on the wheel becomes zero at

A semicircular ring of the radius 0.5 m is given in the diagram. The location of centre of mass on its line of symmetry above its base will be:-

Important Questions on Rotational Mechanics

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A semicircular ring of the radius $0.5 m$ is given in the diagram. The location of centre of mass on its line of symmetry above its base will be:-