MCQ
A simple pendulum is attached to a block which slides without friction down an inclined plane $A B C$ having an angle of inclination $\alpha$ as shown below. While the block is sliding down the pendulum oscillates in such a way that at its mean position the direction of the string is
  • A
    at angle $\alpha$ to the perpendicular to the inclined plane $A C$
  • B
    parallel to the inclined plane $A C$
  • C
    vertically downwards
  • perpendicular to the inclined plane $A C$

Answer

Correct option: D.
perpendicular to the inclined plane $A C$
d
(d)

As block slides down the plane, pendulum bob is subjected to two forces.

$(i)$ Weight mg perpendicularly downwards to the horizontal.

$(ii)$ Pesudo force $m g \sin \theta$ acting upwards and parallel to the inclined plane.

Resultant of these forces is perpendicular to inclined plane $A C$. So, mean position of pendulum is perpendicular to $A C$.

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Similar questions

The scale on a steel metre stick is calibrated at $20^o\,C$.The error in the reading of $50\,cm$ at $30^o\,C$ is: (take linear expansion coefficient of steel $= 1.0 \times 10^{-5} /  ^oC)$
A capillary tube is attached horizontally to a constant head arrangement. If the radius of the capillary tube is increased by $10\%$ then the rate of flow of liquid will change nearly by ......... $\%$
A solid cylinder of length $L$ and radius $r$ is heat upto same temperature as that of a cube of edge length $a$. If both have same material, volume and allowed to cool under similar conditions, then ratio of amount of radiations radiated will be (Neglect radiation emitted from flat surfaces of the cylinder)
In the diagram shown below all three rods are of equal length $L$ and equal mass $M$. The system is rotated such that rod $B$ is the axis. What is the moment of inertia of the system?
A submarine has a window of area $30 \times 30 \,cm ^2$ on its ceiling and is at a depth of $100 \,m$ below sea level in a sea. If the pressure inside the submarine is maintained at the sea-level atmosphere pressure, then the force acting on the window is ............. $N$ (consider density of sea water $=1.03 \times 10^3 \,kg / m ^3$, acceleration due to gravity $=10 \,m / s ^2$ )
A block of mass $4\,kg$ is placed on a rough horizontal plane A time dependent force $F = kt^2$ acts on the block, where $k = 2\,N/s^2$. Coefficient of friction $\mu = 0.8$. Force of friction between block and the plane at $t = 2\,s$ is ....... $N$
Given below are two statements :

Statement$-I:$ Acceleration due to gravity is different at different places on the surface of earth.

Statement$-II:$ Acceleration due to gravity increases as we go down below the earth's surface.

In the light of the above statements, choose the correct answer from the options given below

If $x = a -b,$ then percentage error in $x$ will be
The second's hand of a watch has $6\, cm$ length. The speed of its tip and magnitude of difference in velocities of its at any two perpendicular positions will be respectively
The vertical limbs of a $U$ shaped tube are filled with a liquid of density $\rho$ upto a height $h$ on each side. The horizontal portion of the $U$ tube having length $2h$ contains a liquid of density $2\rho$ . The $U$ tube is moved horizontally with an accelerator $g/2$ parallel to the horizontal arm. The difference in heights in liquid levels in the two vertical limbs, at steady state will be