CUET LEVEL-I NEET MOCK TEST-10(Physics)

A ring of mass m and radius R has four particles attached to the ring as shown in the figure the center of the ring is at the origin find the CM of the system

• (0,R)

• (R,0)

• (0,0)

• (R√2,0)

A system consists of mass M and m(<<M) the center of mass of the system is

• at the middle

• nearer to M

• nearer to m

• at the position of larger mass

Consider the following two equations : A) R̅ =1/MΣm_ir̅_i and B) a̅_CM = F̅/M in a non - inertial frame

• both are correct

• both are wrong

• A is correct but B is wrong

• B is correct but A is wrong

Consider the following two statements A) linear momentum of the system remains constant B)Center of mass of the system remains at rest

• A implies B and B implies A

• A does not imply B and B does not imply A

• A implies B but B does not imply A

• B implies A but A does not imply B

All the particle of a body are situated at a distance R from the origin . the distance of the center of mass of the body from the origin is

• =R

• ≤R

• >R

• ≥R

A body falling vertically downwards under gravity breaks in two parts of unequal masses . The center of mass of the two parts taken together shifts horizontally towards

• shifts horizontally towards heavier piece

• shifts horizontally towards lighter piece

• does not shift horizontally

• depends on the vertical velocity at the time of breaking

A ball kept in a closed box moves in the box making collisions with the walls. The box is kept on the smooth surface . The velocity of the center of mass

• of the box remains constant

• of the box plus the ball system remains constant

• of the ball remains constant

• of the ball relative to the box remains constant

Consider a system of two identical particles. One of the particles is a rest and the other has an accelerations a̅ The center of mass has an acceleration

• zero

• 1/2 a̅

• a̅

• 2a̅

The center of mass of the system of particles is at the origin .It follows that

• The number of particles to the right of the origin is equal to the number of particle to the left

• the total mass of the particles to the right of the origin is same as the total mass to the left of the origin

• the number of particles on X-axis should be equal to the number of particles on Y-axis

• none of the above

The body has its center of mass at the origin .The x-coordinates to the particles

• may be all positive

• may be all negative

• always zero

• may be positive for same case and negative in other cases