Systems of Particles and Rotational Motion Test

Result

Systems of Particles and Rotational Motion Test - 14

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Weekly Quiz Competition

Question 1
4 / -1

A car moves around a curved road of radius R₁ at constant speed v without sliding. If we double the car's speed, what is the least radius that would now keep the car from sliding ?

A
2R₁

B
4R₁

C
6R₁

D
R₁

Solution
Question 2
4 / -1

A mass m hangs with the help of a string wrapped around a pulley on a frictionless bearing. The pulley has mass m and radius R. Assuming pulley to be a perfect uniform circular disc, the acceleration of the mass in, if the string does not slip on the pulley, is

A
g

B

C

D

Solution
Question 3
4 / -1

A drum of radius R and mass M, rolls down without slipping along an inclined plane of angle O. The frictional force

A
converts translational energy to rotational energy

B
dissipates energy as heat

C
decreases the rotational motion

D
decreases the rotational and translational motions
Question 4
4 / -1

A solid sphere rolls down without slipping on an inclined plane at angle 60° over a distance of 10 m. The acceleration (in ms ^-2) is

A
4

B
5

C
6

D
7

Solution
Question 5
4 / -1

A solid sphere of mass 1 kg, radius 10 cm rolls down an inclined plane of height 7 m. The velocity of its centre as it reaches the ground level is

A
7 m/s

B
10 m/s

C
15 m/s

D
20 m/s

Solution
Question 6
4 / -1

A circular disc rolls down an inclined plane. The ratio of rotational kinetic energy to total kinetic energy is

A

B

C

D

Solution
Question 7
4 / -1

The acceleration of the centre of mass of a uniform solid disc rolling down an inclined plane of angle α is

A

B

C

D

Solution
Question 8
4 / -1

A circular disc of radius R rolls without slipping along the horizontal surface with constant velocity v₀. We consider a point A on the surface of the disc. Then the acceleration of the point A is

A
constant in magnitude as well as direction

B
constant in direction

C
constant in magnitude

D
constant
Question 9
4 / -1

A cylinder rolls down an inclined plane of inclination 30°, the acceleration of cylinder is

A
g / 3

B
g

C
g / 2

D
2g / 3

Solution
Question 10
4 / -1

A

B

C

D

Solution