Relationship Between Linear And Angular Motion MCQ

Quick Facts

Equations of Linear Motion and Rotational Motion. is considered one of the most asked concept.
28 Questions around this concept.

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

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