A rigid body is rotating about its centre of mass; fixed at origin with an angular velocity overrightarrow and angular acceleration overrightarrow . If the torque acting on it is overrightarrow and its angular momentum is overrightarrow bfL , then the rate of change of its kinetic energy is

12( overrightarrow overrightarrow + overrightarrow bfL overrightarrow )

A rigid body is rotating about its centre of mass fixed...

Home / Engineering Physics / Classical Mechanics / Question

Examveda

A. $$\frac{1}{2}\overrightarrow \tau \cdot \overrightarrow \omega $$

B. $$\frac{1}{2}\overrightarrow {\bf{L}} \cdot \overrightarrow \omega $$

C. $$\frac{1}{2}\left( {\overrightarrow \tau \cdot \overrightarrow \omega + \overrightarrow {\bf{L}} \cdot \overrightarrow \alpha } \right)$$

D. $$\frac{1}{2}\overrightarrow {\bf{L}} \cdot \overrightarrow \alpha $$

Answer: Option C

Related Questions on Classical Mechanics

A. increases till mass falls into hole

B. decreases till mass falls into hole

C. remains constant

D. becomes zero at radius r₁, where 0 < r₁ < r₀

View Answer

A. $$\frac{c}{3}$$

B. $$\frac{{\sqrt 2 }}{3}c$$

C. $$\frac{c}{2}$$

D. $$\frac{{\sqrt 3 }}{2}c$$

View Answer

A. $$\frac{{{p_x}^2}}{{2a}} + \frac{{{p_y}^2}}{{2b}} + kxy$$

B. $$\frac{{{p_x}^2}}{{4a}} + \frac{{{p_y}^2}}{{4b}} - kxy$$

C. $$\frac{{{p_x}^2}}{{4a}} + \frac{{{p_y}^2}}{{4b}} + kxy$$

D. $$\frac{{{p_x}^2 + {p_y}^2}}{{4ab}} + kxy$$

View Answer

A. circular

B. elliptical

C. parabolic

D. hyperbolic

View Answer