EASYVIT - VITEEE 2025
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Relationship Between Linear And Angular Motion - Practice Questions & MCQ
Edited By admin | Updated on Sep 18, 2023 18:34 AM | #JEE Main
Quick Facts
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Equations of Linear Motion and Rotational Motion. is considered one of the most asked concept.
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24 Questions around this concept.
Solve by difficulty
A thin uniform rod of length and mass
is swinging freely about a horizontal axis passing through its end. Its maximum angular speed is
. Its centre of mass rises to a maximum height of
A rod of length 50 cm is provided at one end. It is raised such that it makes an angle of $30^{\circ}$ from the horizontal as shown and released from rest. Its angular speed when it passes through the horizontal ( in rad s ${ }^{-1}$ ) will be ( $\mathrm{g}=10 \mathrm{~ms}^{-}$ $\left.{ }^2\right)$
A particle of mass $m$ moves along line PC with velocity $\nu$ as shown. What is the angular momentum of the particle about P?
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A particle of mass 2 kg is on a smooth horizontal table and moves in a circular path of radius 0.6 m. The height of the table from the ground is 0.8 m. If the angular speed of the particle is 12 rad s-1, the magnitude (in kg m2s-1) of its angular momentum about a point on the ground right under the centre of the circle is :
A wheel starting from rest gains an angular velocity of 10 rad/s after uniformly accelerating for 5 sec. The total angle through which it has turned is
A blade of fan of an aeroplane is rotating at the rate of 600 rotations per minutes, then its angular velocity will be equal to:
What is the value of linear velocity of $\vec{w}=2 \hat{i}-2 \hat{j}+\hat{k}$ and $\vec{\gamma}=3 \vec{i}-\vec{j}-\vec{k}$
Concepts Covered - 1
Equations of Linear Motion and Rotational Motion.
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Linear Motion |
Rotational Motion |
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I |
If linear acceleration =a=0 Then u = constant and s = u t. |
If angular acceleration=$\alpha=0$ Then w = constant and $\theta=\omega \cdot t$ |
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II |
If linear acceleration= a = constant 1. $a=\frac{v-u}{t}$
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If angular acceleration=$\alpha=$ constant
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III |
If linear acceleration= a $\neq$ constant 1. $v=\frac{d x}{d t}$
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If angular acceleration $=\alpha \neq$ constant |
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- Relation between linear and angular properties
1. $\vec{S}=\theta \overrightarrow{\times} \vec{r}$
2. $\vec{v}=\omega \overrightarrow{\times} \vec{r}$
3. $\vec{a}=\alpha \overrightarrow{\times} \vec{r}$
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