Class 11PhysicsSystem of Particles and Rotational MotionMix Example - System of Particles and Rotational Motion
Medium$A$ uniform rod is fixed to a rotating turntable so that its lower end is on the axis of the turntable and it makes an angle of $20^o$ to the vertical. (The rod is thus rotating with uniform angular velocity about a vertical axis passing through one end.) If the turntable is rotating clockwise as seen from above,is there a torque acting on it,and if so,in what direction?
- AYes,vertically
- BYes,horizontally
- CYes,at $20^o$ to the horizontal
- DNo
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$A$ ring of mass $m$ and radius $R$ has three particles attached to the ring as shown in the figure. The centre of the ring has a speed $v_0$. The kinetic energy of the system is: (Slipping is absent) (in $, mv_0^2$)
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View SolutionThe temperature of a thin uniform circular disc of $1 \ m$ diameter is increased by $10^{\circ} C$. The percentage increase in the moment of inertia of the disc about an axis passing through its centre and perpendicular to the circular face is: (linear coefficient of expansion $\alpha = 11 \times 10^{-6} /{ }^{\circ} C$)
In the case of rotational dynamics,which one of the following statements is correct?
$[\vec{\omega} = \text{angular velocity}, \vec{v} = \text{linear velocity}, \vec{r} = \text{radius vector}, \vec{\alpha} = \text{angular acceleration}, \vec{a} = \text{linear acceleration}, \vec{L} = \text{angular momentum}, \vec{p} = \text{linear momentum}, \vec{\tau} = \text{torque}, \vec{f} = \text{force}]$
$[\vec{\omega} = \text{angular velocity}, \vec{v} = \text{linear velocity}, \vec{r} = \text{radius vector}, \vec{\alpha} = \text{angular acceleration}, \vec{a} = \text{linear acceleration}, \vec{L} = \text{angular momentum}, \vec{p} = \text{linear momentum}, \vec{\tau} = \text{torque}, \vec{f} = \text{force}]$
Match Column-$I$ with Column-$II$.
Column-$I$ Column-$II$ $(1)$ $SI$ unit of torque $(a)$ $m$ $(2)$ $SI$ unit of radius of gyration $(b)$ $N\,m$ $(c)$ $Js^{-2}$
| Column-$I$ | Column-$II$ |
|---|---|
| $(1)$ $SI$ unit of torque | $(a)$ $m$ |
| $(2)$ $SI$ unit of radius of gyration | $(b)$ $N\,m$ |
| $(c)$ $Js^{-2}$ |
Easy
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