Home
Class 12
PHYSICS
A uniform rectangular plate is hanging v...

A uniform rectangular plate is hanging vertically downward from a hinge that passes along its left edge. By blowing air at `12 m//s` over the top of the plate only, it is possible to keep the plate in a horizontal position, as illustrated in part (a) of the drawing. To what value of speed should the air be blown so that the plate is kept at a `30^(@)` angle with respect to the vertical, as in part (b) of the drawing ?

A

`12 m//s`

B

`6 m//s`

C

`6sqrt2 m//s`

D

`12sqrt m//s`

Text Solution

Verified by Experts

The correct Answer is:
C
Taking torques about the hinge, we get:
In the `1st` case, `mgL//2 = p AL//2`
In the second case, `mgL//4 = p' AL//2`
Promotional Banner

Similar Questions

Explore conceptually related problems

An insulator plate is passed between the plates of a capacitor. Then current .

A square plate of side 'a' and mass 'm' is lying on a horizontal floor. A force F is applied at the top. Find the maximum force that can be applied on the square plate so that the plate does not topple about A.

A circular plate of uniform thickness has a diameter fo 56cm. A circular portion of diameter 42 cm is removed from one edge of the plate as shown in figure. Find the position of the centre of mass of the remaining portion.

A glass plate is partly dipped vertically in the mercury and the angle of contact is measured. If the plate is inclined, then the angle of contact will

A square plate of mass M and edge L is shown in the figure. The moment of inertia of the plate about the axis in the plane of plate and passing through one of its vertex making an angle 15^@ horizontal is

If the thickness of the plate in the above problem is 2 mm, find the downward force when plate is placed vertically on water along its longest side.

Ler l be the moment of inertia of a uniform square plate about an axis AB that passes through its centre and is parallel to two of its sides. CD is a line in the plane of the plate that passes through the centre of the plate and makes an angle theta with AB. The moment of inertia of the plate about the axis CD is then equal to

Let l be the moment of inertia of a uniform square plate about an axis AB that passes through its centre and is parallel to two of its sides. CD is a line in the plane of the plate that passes through the centre of the plate and makes an angle theta with AB. The moment of inertia of the plate about the axis CD is then equal to

Let l be the moment of inertia of a uniform square plate about an axis AB that passes through its centre and is parallel to two of its sides. CD is a line in the plane of the plate that passes through the centre of the plate and makes an angle theta with AB. The moment of inertia of the plate about the axis CD is then equal to

A plate of mass 10g is in equilibrium in air due to the force exerted by a light beam on the plate. Calculate power of the beam. Assume that the plate is perfectly absorbing.