Motion in a Plane Test

Result

Motion in a Plane Test - 32

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Weekly Quiz Competition

Question 1
4 / -1

A sphere is suspended by a thread of length . What minimum horizontal velocity has to be imparted the ball for it to reach the height of the suspension?

A
gl

B
2gl

C

D

Solution
Question 2
4 / -1

A wheel is subjected to uniform angular acceleration about its axis. Initially its angular velocity is zero. In the first 2 sec, it rotates through an angle θ₁. In the next 2 sec, it rotates through an additional angle θ₂. The ratio of θ₂/θ₁ is

A
1

B
2

C
3

D
5

Solution
Question 3
4 / -1

A 2 kg stone at the end of a string 1 m long is whirled in a vertical circle at a constant speed. The speed of the stone is 4 m/sec. The tension in the string will be 52 N, when the stone is

A
At the top of the circle

B
At the borrot of the circle

C
Halfway down

D
None of the above

Solution
Question 4
4 / -1

A particle moves in a circle of radius 30 cm. Its linear speeds is given by v = 2t, where t in second and v in m/s. Find out its radial an tangential acceleration at t = 3sec, respectively,

A
220 m/sec², 50 m/sec²

B
100 m/sec², 5 m/sec²

C
120 m/sec², 2 m/sec²

D
110 m/sec², 10 m/sec²

Solution
Question 5
4 / -1

The string of pendulum of length l displaced through 90^o from the vertical and released. Then, the minimum strength of the string in order to withstand the tension, as the pendulum passes through the mean position is

A
mg

B
3 mg

C
5 mg

D
6 mg

Solution
Question 6
4 / -1

A weightless thread can support tension upto 30 N. A stone of mass 0.5 kg is tied to it and is revolved in a circular path of radius 2 m in a vertical plane. If g = 10 m/s², then the maximum angular velocity of the stone will be

A
5 rad/s

B

C

D
10 rad/s

Solution
Question 7
4 / -1

A heavy mass in attached to a thin wire and is whirled in a vertical circle. The wire id most likely to break

A
When the mass is at the highest point of the circle

B
When the mass is at the lowest point of the circle

C
When the wire is horizontal

D
At an angle of cos^–1(1/3) from the upward vertical
Question 8
4 / -1

A weightless thread can bear tension upto 3.7 kg wt. A stone of mass 500 gm is tied to it and revolved in a circular path of radius 4 m in a vertical plane. If g = 10 ms^–2, then the maximum angular velocity of the stone will be

A
4 radians/sec

B
16 radians/sec

C

D
2 radians/sec

Solution
Question 9
4 / -1

The minimum velocity at the lowest point, so that the string just slack at the highest point in a vertical circle of radius l

A

B

C

D
Question 10
4 / -1

If the equation for the displacement of a particle moving on a circular path is given by (θ) = 2t³ + 0.5, where θ is in radians and t in seconds, then the angular velocity of the particle after 2 sec from its start is

A
8 rad/sec

B
12 rad/sec

C
24 rad/sec

D
36 rad/sec

Solution