Question:
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:
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.
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.
Updated On: Mar 16, 2026
- \( M_3 \) 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 \( M_2, M_3 \)
Show Solution
Verified By Collegedunia
The Correct Option is C
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 \( \theta \)
Was this answer helpful?
0
0
Top AP EAPCET Physics Questions
- A body is projected from the ground at an angle of $\tan^{-1} \left( \frac{8}{7}\right)$ with the horizontal. The ratio of the maximum height attained by it to its range is
- A lens forms real and virtual images of an object, when the object is at $u_{1}$ and $u_{2}$ distances respectively. If the size of the virtual image is double that of the real image, then the focal length of the lens is (take, the magnification of the real image as $m$ )
- Two spheres $P$ and $Q$, each of mass $200\, g$ are attached to a string of length one metre as shown in the figure. The string and the spheres are then whirled in a horizontal circle about $O$ at a constant angular speed. The ratio of the tension in the string between $P$ and $Q$ to that of between $P$ and $O$ is $(P$ is at mid-point of the line joining $O$ and $Q$ )
- The radii of the two columns in a U - tube are r1 and r2. When a liquid of density p (angle of contact is $ 0{}^\circ $ ) is filled in it, the level difference of the liquid in the two arms is h. The surface tension of the liquid is: (g = acceleration due to gravity)
- A rigid metallic sphere is spinning around its own axis in the absence of external torque. If the temperature is raised, its volume increases by $9 \%$. The change in its angular speed is
View More Questions
Top AP EAPCET Newtons Laws of Motion Questions
- The maximum acceleration with which a body of mass 200 kg is lowered into a well using a rope having a breaking force of 50 kg-wt is (Acceleration due to gravity = 10 $ ms^{-2} $)
- The time taken by a net force of 10 N to change the velocity by 4 m/s of a body of mass 10 kg is:
- According to Newton's law of cooling, the temperature of a body is \( T \) at time \( t \) and the temperature of the surroundings is \( T_s \). The rate of change of temperature is given by \[ \frac{dT}{dt} = k(T_s - T) \] If the initial temperature at time \( t = 0 \) is \( T_0 \), then the temperature \( T \) is:
- Two bodies of masses \( m_1 \) and \( m_2 \) are dropped from two different heights \( h_1 \) and \( h_2 \) respectively. The ratio of the times taken by the two masses to touch the ground is (neglect air resistance)
- The magnitude of the external force acting on moving bodies can be known directly by
View More Questions
Top AP EAPCET Questions
- A body is projected from the ground at an angle of $\tan^{-1} \left( \frac{8}{7}\right)$ with the horizontal. The ratio of the maximum height attained by it to its range is
- The four quantum numbers of the valence electron of potassium are :
- A lens forms real and virtual images of an object, when the object is at $u_{1}$ and $u_{2}$ distances respectively. If the size of the virtual image is double that of the real image, then the focal length of the lens is (take, the magnification of the real image as $m$ )
- Two spheres $P$ and $Q$, each of mass $200\, g$ are attached to a string of length one metre as shown in the figure. The string and the spheres are then whirled in a horizontal circle about $O$ at a constant angular speed. The ratio of the tension in the string between $P$ and $Q$ to that of between $P$ and $O$ is $(P$ is at mid-point of the line joining $O$ and $Q$ )
- The volume of $0.02\, M$ acidified permanganate solution required for complete reaction of $60\, mL$ of $0.01\, MI^{-}$ ion solution to form $I_2$ in $mL$ is
View More Questions