The angular velocities of three bodies in simple harmonic motion are $${{\omega }_{1}},\,{{\omega }_{2}},\,{{\omega }_{3}}$$ with their respective amplitudes as $${{A}_{1}},\,{{A}_{2}},\,{{A}_{3}}$$. If all the three bodies have same mass and velocity, then [BHU 2002]

Question

The angular velocities of three bodies in simple harmonic motion are $${{\omega }_{1}},\,{{\omega }_{2}},\,{{\omega }_{3}}$$ with their respective amplitudes as $${{A}_{1}},\,{{A}_{2}},\,{{A}_{3}}$$. If all the three bodies have same mass and velocity, then                                                           [BHU 2002]

TuteeHUB · Accepted Answer

$${{A}_{1}}{{\omega }_{1}}^{2}={{A}_{2}}{{\omega }_{2}}^{2}={{A}_{3}}{{\omega }_{3}}^{2}$$

TuteeHUB · Answer

$${{A}_{1}}{{\omega }_{1}}={{A}_{2}}{{\omega }_{2}}={{A}_{3}}{{\omega }_{3}}$$

TuteeHUB · Answer

$${{A}_{1}}^{2}{{\omega }_{1}}={{A}_{2}}^{2}{{\omega }_{2}}={{A}_{3}}^{2}{{\omega }_{3}}$$

TuteeHUB · Answer

$${{A}_{1}}^{2}{{\omega }_{1}}^{2}={{A}_{2}}^{2}{{\omega }_{2}}^{2}={{A}^{2}}$$

1.	The angular velocities of three bodies in simple harmonic motion are \[{{\omega }_{1}},\,{{\omega }_{2}},\,{{\omega }_{3}}\] with their respective amplitudes as \[{{A}_{1}},\,{{A}_{2}},\,{{A}_{3}}\]. If all the three bodies have same mass and velocity, then [BHU 2002]
A.	\[{{A}_{1}}{{\omega }_{1}}={{A}_{2}}{{\omega }_{2}}={{A}_{3}}{{\omega }_{3}}\]
B.	\[{{A}_{1}}{{\omega }_{1}}^{2}={{A}_{2}}{{\omega }_{2}}^{2}={{A}_{3}}{{\omega }_{3}}^{2}\]
C.	\[{{A}_{1}}^{2}{{\omega }_{1}}={{A}_{2}}^{2}{{\omega }_{2}}={{A}_{3}}^{2}{{\omega }_{3}}\]
D.	\[{{A}_{1}}^{2}{{\omega }_{1}}^{2}={{A}_{2}}^{2}{{\omega }_{2}}^{2}={{A}^{2}}\]
Answer» B. \[{{A}_{1}}{{\omega }_{1}}^{2}={{A}_{2}}{{\omega }_{2}}^{2}={{A}_{3}}{{\omega }_{3}}^{2}\]

The angular velocities of three bodies in simple harmonic motion are \[{{\omega }_{1}},\,{{\omega }_{2}},\,{{\omega }_{3}}\] with their respective amplitudes as \[{{A}_{1}},\,{{A}_{2}},\,{{A}_{3}}\]. If all the three bodies have same mass and velocity, then [BHU 2002]

Discussion

No Comment Found

Related MCQs

Reply to Comment