NEET
Practice Test 10
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Centre of mass of the earth and the moon system lies

Four particles of masses m1,m2,m3 and m4 are placed at the vertices A,B,C and D as respectively of a square shown.The COM of the system will lie at diagonal AC if

Two spheres A and B of masses m and 2m and radii 2R and R respectively are placed in contact as shown. The COM of the system lies

Moment of inertia does not depend upon

A body cannot roll without slipping on a

A body is projected from ground with some angle to the horizontal. The angular momentum about the initial position will

A ball tied to a string is swung in a vertical circle. Which of the following remains constant?

  • Solution

    The pull of earth changes only when the body moves so that g changes. It is an exceptional case and should not be considered unless otherwise mentioned.

Angular momentum is

  • Solution

    Angular momentum \(\dot{L}\) is defined as \(\dot{L}=\dot{r}\times m(\dot{v})\) so \(\dot{L}\) is, an axial vector..

Angular momentum of a system of a particles changes, when

  • Solution

    If we apply a torque on a body, then angular momentum of the body changes according to the relation
    \(\dot{\tau }=\frac{d\dot{L}}{dt}\Rightarrow if\: \dot{\tau }=0 \: then,\vec{L}=constant\)

A disc is given a linear velocity on a rough horizontal surface then its angular momentum is

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SYSTEM OF PARTICLES AND ROTATIONAL MOTION
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