Average torque on a projectile of mass m (initial speed u and angle of projection θ) between initial and final positions P and Q as shown in figure, about the point of projection is : .
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Two particles A and B are situated at a distance d=2m apart. Particle A has a velocity of 10m/s at an angle of 60∘ and particle B has a velocity v at an angle 30∘ as shown in figure. The distance d between A and B is constant. the angular velocity of B with respect to A is : .
Three identical spheres each of radius R are placed thouching each other on a horizontal table as shown in figure. The co-ordinates of centre of mass are : .
A wheel of moment of inertia 2.0×103kgm2 is rotating at uniform angular speed of 4rads−1. What is the torque required to stop it in one second.
A rigid mass less rod of length L is hinged at its one end a weight W is hung at a distance l(<L) from this end. What is force P should be applied upwards at the other end so that the rod remains in equilibrium horizontally ? .
A light rod of length l has two masses m1 and m2 attached to its two ends. The moment of inertia of the system about an axis perpendicular to the rod and passing through the centre of mass is.
The radius of gyration of an uniform rod of length L about an axis passing through its centre of mass and perpendicular to its length is.
Where must a 800N weight be hung on a uniform horizontal 100N pole of length L so that a body at one end supports one-third as much as a man at the other end ?
If F is the force acting in a particle having position vector r and τ be the torque of this force about the origin, then