Motion in a Plane Test

Result

Motion in a Plane Test - 34

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Weekly Quiz Competition

Question 1
4 / -1

A body crosses the topmost point of a vertical circle with critical speed. Its centripetal acceleration, when the string is horizontal will be

A
6 g

B
3 g

C
2 g

D
g

Solution
Question 2
4 / -1

A simple pendulum oscillates in a vertical plane. When it passes through the mean position, the tension in the string is 3 times the weight of the pendulum bob. What is the maximum displacement of the pendulum with respect to the vertical?

A
30^o

B
45^o

C
60^o

D
90^o

Solution
Question 3
4 / -1

A particle is moving in a vertical circle. The tension in the string when passing through two positions at angles 30^o and 60^o from vertical (lowest position) are T₁ and T₂ respectively, then

A
T₁ = T₂

B
T₂ < T₁

C
T₁ > T₂

D
Tension in the string always remains the same

Solution
Question 4
4 / -1

A particle is kept at rest at the top of a sphere of diameter 42 m. When disturbed slightly, it slides down. At what height \'h\' from the bottom, the particle will leave the sphere

A
14 m

B
28 m

C
35 m

D
7 m

Solution
Question 5
4 / -1

The angle turned by a body undergoing circular motion depends on time as θ = θ₀ + θ₁t + θ₂t². Then, the angular acceleration of the body is

A
θ₁

B
θ₂

C
2θ₁

D
2θ₂

Solution
Question 6
4 / -1

A small disc is on the top of a hemisphere of radius R. What is the smallest horizontal velocity v that should be given to the disc for it to leave the hemisphere and not slide down it? [There is no friction]

A

B

C

D
Question 7
4 / -1

A body of mass 0.4 kg is whirled in a vertical circle making 2 rev/sec. If the radius of the circle is 2 m, then tension in the string when the body is at the top of the circle, is

A
41.56 N

B
89.86 N

C
109.86 N

D
115.86 N

Solution
Question 8
4 / -1

The maximum and minimum tension in the string whirling in a circle of radius 2.5 n with constant velocity are in the ratio 5:3, the its velocity is

A
a and d

B
a and c

C
only a

D
only b

Solution
Question 9
4 / -1

A particle moves in a circular path with decreasing speed. Choose the correct statement

A
Angular momentum remains constant

B

C
Particle moves in a spiral path with decreasing

D
The direction of angular momentum remains constant
Question 10
4 / -1

A bridge is in the form of a semi circle of radius 40m. The greatest with which a motor cycle can cross the bridge without leaving the ground at the highest point is (g = 10m/s^–2)
(frictional force is negligibly small)

A
40 m/s^–1

B
20 m/s^–1

C
30 m/s^–1

D
15 m/s^–1

Solution