MAHE Manipal B.Sc Nursing 2025
ApplyAccorded Institution of Eminence by MoE, Govt. of India | NAAC A++ Grade | Ranked #4 India by NIRF 2024
Equations of Linear Motion and Rotational Motion. is considered one of the most asked concept.
29 Questions around this concept.
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?
Linear Motion |
Rotational Motion |
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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. $a=\frac{v-u}{t}$
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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. $v \cdot d v=a . d s$
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If angular acceleration $=\alpha \neq$ constant $$ |
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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