Three blocks \( M_1, M_2, M_3 \) (\( M_1>M_2>M_3 \)) lie on a plane. The angle of inclination \( \theta \) is increased. If the coefficient of friction is the same for all, then:
Show Hint
Inclined Plane and Sliding}
The angle of inclination \( \theta \) at which sliding starts depends only on \( \mu \).
Use \( \tan \theta = \mu \) for threshold angle.
Mass does not affect the onset of sliding when \( \mu \) is the same.
\( M_3 \) begins to slide at a higher inclination angle than \( M_1 \; \& \; M_2 \)
\( M_3 \) begins to slide at a lower inclination angle than \( M_1 \; \& \; M_2 \)
\( M_1, M_2, M_3 \) begin to slide at the same inclination angle
\( M_1 \) begins to slide at a higher angle than \( M_2, M_3 \)
Hide Solution
Verified By Collegedunia
The Correct Option isC
Solution and Explanation
The condition for onset of sliding:
\[
mg \sin \theta = \mu mg \cos \theta \Rightarrow \tan \theta = \mu
\]
Note: This equation is independent of mass.
Hence, the angle \( \theta \) at which sliding begins is the same for all blocks, regardless of \( M_1, M_2, M_3 \).
Conclusion: All blocks begin to slide simultaneously at the same \( \theta \)
