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    NEET 2026 Preparation Tips for Chemistry, Biology and Physics

    Relationship Between Linear And Angular Motion MCQ - Practice Questions with Answers

    Edited By admin | Updated on Sep 25, 2023 25:23 PM | #NEET

    Quick Facts

    • Equations of Linear Motion and Rotational Motion. is considered one of the most asked concept.

    • 28 Questions around this concept.

    Solve by difficulty

    A thin uniform rod of length l and mass m is swinging freely about a horizontal axis passing through its end. Its maximum angular speed is \omega . 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?

    Concepts Covered - 1

    Equations of Linear Motion and Rotational Motion.

     

     

    Linear Motion

    Rotational Motion

    I

    If linear acceleration =a=0

    Then  u = constant 

    and s = u t.Í

    If angular acceleration $=\alpha=0$
    Then $\omega=$ constant and $\theta=\omega \cdot t$

    II

    If linear acceleration= a = constant

    1. $a=\frac{v-u}{t}$
    2. $v=u+a t$
    3. $s=u t+\frac{1}{2} a t^2$
    4. $s=\frac{v+u}{2} * t$
    5. $v^2-u^2=2 a s$
    6.$
    S_n=u+\frac{a}{2}(2 n-1)
    $
     

     

    If angular acceleration=$\alpha=$ constant

    $\begin{aligned} & \text { 1. } \alpha=\frac{\omega_f-\omega_i}{t} \\ & \text { 2. } \omega_f=\omega_i+\alpha \cdot t \\ & \text { 3. } \theta=\omega_i \cdot t+\frac{1}{2} \cdot \alpha \cdot t^2 \\ & \text { 4. } \theta=\frac{\omega_f+\omega_i}{2} * t \\ & \text { 5. } \omega_f^2-\omega_i^2=2 \alpha \theta \\ & \text { 5. } \theta_n=\omega_i+\frac{\alpha}{2}(2 n-1)\end{aligned}$

    III

    If linear acceleration= a Not equal to constant

    1. $v=\frac{d x}{d t}$
    2. $a=\frac{d v}{d t}=\frac{d^2 x}{d t^2}$
    3. $v \cdot d v=a . d s$

     

    If angular acceleration $=\alpha \neq$ constant

    $$
    \begin{aligned}
    & \text { 1. } \omega=\frac{d \theta}{d t} \\
    & { }_{2 .}=\frac{d \omega}{d t}=\frac{d^2 \theta}{d t^2} \\
    & \text { 3. } \omega \cdot d \omega=\alpha \cdot d \theta
    \end{aligned}
    $$
     

     

    • Relation between linear and angular properties

    $\begin{aligned} & \text { 1. } \vec{S}=\theta \overrightarrow{\times} \vec{r} \\ & \text { 2. } \vec{v}=\omega \times \overrightarrow{\times} \vec{r} \\ & \text { 3. } \vec{a}=\alpha \overrightarrow{\times} \vec{r}\end{aligned}$

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    Equations of Linear Motion and Rotational Motion.

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