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1.
A solid sphere rolls down without slipping on an inclined plane at angle 60
over a distance of 10 m. the acceleration 
is
over a distance of 10 m. the acceleration is
2.
The curve between 
and 
is (
is the angular momentum and 
is the linear momentum)
and is ( is the angular momentum and is the linear momentum)
3.
The centre of mass of three particles of masses 1 kg, 2kg and 3kg is at (2, 2, 2). The position of the fourth mass of 4 kg to be places in the system as that the new centre of mass is at (0, 0, 0) is
4.
Two masses of 200 g and 300 g are attached to the 20 cm and 70 cm marks of a light metre rod respectively. The moment of inertia of the system about an axis passing through 50 cm mark is
5.
Three identical rods, each of length 
, are joined to form a rigid equilateral triangle. Its radius of gyration about an axis passing through a corner and perpendicular to the triangle is
, are joined to form a rigid equilateral triangle. Its radius of gyration about an axis passing through a corner and perpendicular to the triangle is
6.
A couple produces
7.
When a mass is rotating in a plane about a fixed point, its angular momentum is directed along
8.
Centre of mass is a point
9.
A system of three particles having masses 
kg and 
kg respectively is connected by two light springs. The acceleration of the three particles at any instant are 
and 0.5 
respectively directed as shown in the figure. The net external force acting on the system is
kg and kg respectively is connected by two light springs. The acceleration of the three particles at any instant are and 0.5 respectively directed as shown in the figure. The net external force acting on the system is
10.
The total kinetic energy of a body of mass 
and radius 
moving with a velocity of 
without slipping is 
The radius of gyration of the body is
and radius moving with a velocity of without slipping is The radius of gyration of the body is