MEDIUM
JEE Main
IMPORTANT
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Calculate the total torque acts on the body shown about the point O.

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Important Questions on Rotational Mechanics

HARD
JEE Main
IMPORTANT
A cubical block of mass m and edge a slides down a rough inclined plane of inclination θ with uniform speed. The torque of the normal force acts on the block about its centre is y mgasinθ. The value of y is:
HARD
JEE Main
IMPORTANT
A rod of mass m and length L lying horizontally is free to rotate about a vertical axis through its centre. The horizontal force of constant magnitude F acts on the rod at a distance of L4 from the centre. The force is always perpendicular to the rod. The angle rotated by the rod during the time t after the motion starts is given as αFt2mL. Find the value of α.
MEDIUM
JEE Main
IMPORTANT
A square plate of mass 120 g and edge 5.0 cm rotates about one of the edges. If it has a uniform angular acceleration of 0.2 rad s-2. The torque acting on the plate is n×10-5 N m. Find the value of n.
HARD
JEE Main
IMPORTANT

The torque on the square plate of mass 120 g and edge 5.0 cm if it rotates about a diagonal with a uniform angular acceleration of 0.2 rad s-2 is y×10-5 N m. The value of y is:

HARD
JEE Main
IMPORTANT

A flywheel of moment of inertia 5.0 kg-m is rotated at a speed of 60 rad s-1. Because of the friction at the axle, it comes to rest in 5.0 minutes. Find

(a) the average torque of the friction.

(b) the total work done by the friction.

(c) the angular momentum of the wheel 1 minute before it stops rotating.

HARD
JEE Main
IMPORTANT
Because of the friction between the water in oceans with the earth's surface, the rotational kinetic energy of the earth is continuously decreasing. If the earth's angular speed decreases by 0.0016 rad per day in 100 years. Radius of the earth is 6400 km and its mass is 6.0×1024 kg. The average torque of the friction on the earth is y×1020 Nm. Calculate the value of y.
MEDIUM
JEE Main
IMPORTANT
A wheel rotating at a speed of 600 rpm (revolutions per minute) about its axis is brought to rest by applying a constant torque for 10 seconds. The angular deceleration and the angular velocity 5 seconds after the application of the torque is given as α rev s-2 and β rev s-1 respectively. Find the value of αβ.
HARD
JEE Main
IMPORTANT
A wheel of mass 10 kg and radius 20 cm is rotating at an angular speed of 100 rev min-1 when the motor is turned off. Neglecting the friction at the axle, calculate the force that must be applied tangentially to the wheel to bring it to rest in 10 revolutions.