EASY
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Moment of a couple can be defined as the tendency of the force to rotate.

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Important Questions on Force and Laws of Motion

MEDIUM

A wheel of radius, R with an axle of radius, R2 is as shown in the figure and is free to rotate about a frictionless axis through its center and perpendicular to the page. Three forces F, F, 2 F, are exerted tangentially to the respective rims as shown in the figure.

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The magnitude of the net torque acting on the system is nearly, 

HARD
An automobile moves on a road with a speed of 54 km h-1 . The radius of its wheels is 0.45m and the moment of inertia of the wheel about its axis of rotation is 3 kg m2 . If the vehicle is brought to rest in 15 s , the magnitude of average torque transmitted by its brakes to the wheel is:
EASY
Torque per unit moment of inertia is equal to
EASY
The dimensional formulaML2 T-2represents
EASY
Starting from Newton's second law of motion, derive the equation of motion of a particle (capable of rotation about an axis) on which torque τ is acting. Assume that the motion of the particle is in a plane.
EASY
The turning effect of force is known as
EASY
Which of the following increases the moment of force on an object?
EASY
The equation τ=Iα is valid about which of the following?
HARD

One end of a thin bar AB of mass m and length l is hanging from a massless string. The other end is held at an angle of 45° with horizontal. Find the tension in the string, immediately after the release of the bar.

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EASY
In order to open a door, a boy applies a force of 50 N on its handle in a direction normal to the plane of the door. If the applied force acts at a distance of 0.6 m from the hinges, find the torque of the force
EASY
A force of -Fk^ acts on O, the origin of the coordinate system. The torque about the point (1,-1) is

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EASY
A hollow cylinder of radius R and height h (<< R) is completely filled with a liquid having coefficient of viscosity η . Now a cylinder of radius R is placed over it and is rotated with constant angular velocity ω  by an external agent as shown.
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HARD
A beam of length l lies on the + x axis with its left end at the origin. A cable pulls the beam in y - direction with a force F=F0 1-xl . If the axis is fixed at x=0, then find the torque -


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EASY
The rotational analogue of force in linear motion is :
EASY
A constant torque of 31.4N-m is exerted on a pivoted wheel. If the angular acceleration of the wheel is 4πrad/s2, then the moment of inertia of the wheel is
HARD
Four forces tangent to the circle of radius R are acting on a wheel as shown in the figure. The resultant equivalent one force system will be:

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EASY
If the system shown below is at rest find PR 


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EASY
Torque is generally measured in units of
MEDIUM
A body weighing 8g when placed in one pan and 18g when placed on the other pan of a false balance. If the beam is horizontal when both the pans are empty, then the true weight of the body is