Gamma Question Bank for Medical Physics>Chapter 7 - System of Particles and Rotational Motion>Assignment>Q 76

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What is the torque of force $\vec{F} = 2 \hat{i} - 3 \hat{j} + 4 \hat{k}$ acting at a point $\vec{r} = 3 \hat{i} + 2 \hat{j} + 3 \hat{k}$ about the origin?

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Important Questions on System of Particles and Rotational Motion

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Gamma Question Bank for Medical Physics>Chapter 7 - System of Particles and Rotational Motion>Assignment>Q 76

What is the torque of force

\vec{F} = 2 \hat{i} - 3 \hat{j} + 4 \hat{k}

acting at a point

\vec{r} = 3 \hat{i} + 2 \hat{j} + 3 \hat{k}

about the origin?

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Gamma Question Bank for Medical Physics>Chapter 7 - System of Particles and Rotational Motion>Assignment>Q 78

The angular speed of a fly wheel making

120 rev \min^{- 1}

is

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Gamma Question Bank for Medical Physics>Chapter 7 - System of Particles and Rotational Motion>Assignment>Q 80

A wheel having moment of inertia

2 {kgm}^{2}

about its vertical axis, rotates at the rate of

60

rpm about this axis.The torque which can stop the wheel's rotation in one minute would be

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Gamma Question Bank for Medical Physics>Chapter 7 - System of Particles and Rotational Motion>Assignment>Q 81

What is the value of linear velocity, if

\vec{ω} = 3 \hat{i} - 4 \hat{j} + \hat{k}

and

\vec{r} = 5 \hat{i} - 6 \hat{j} + 6 \hat{k}

?

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Gamma Question Bank for Medical Physics>Chapter 7 - System of Particles and Rotational Motion>Assignment>Q 82

If

|\vec{A} \times \vec{B}| = \sqrt{3} \vec{A} \cdot \vec{B}

, then the value of

|\vec{A} + \vec{B}|

is,

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Gamma Question Bank for Medical Physics>Chapter 7 - System of Particles and Rotational Motion>Assignment>Q 83

If the angle between the vectors

\vec{A}

and

\vec{B}

is

θ

, the value of the product

(\vec{B} \times \vec{A}) \cdot \vec{A}

is equal to:

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Gamma Question Bank for Medical Physics>Chapter 7 - System of Particles and Rotational Motion>Assignment>Q 84

A round disc of moment of inertia

I_{1}

about its axis perpendicular to its plane and passing through its centre is placed over another disc of moment of inertia

I_{2}

rotating with an angular velocity

ω

about the same axis. The final angular velocity of the combination of discs is

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Gamma Question Bank for Medical Physics>Chapter 7 - System of Particles and Rotational Motion>Assignment>Q 86

The solid cylinder is rolling without slipping on a plane having inclination

θ

and the coefficient of static friction

μ_{s}

. The relation between

θ

and

μ_{s}

is