Systems of Particles and Rotational Motion Test

Result

Systems of Particles and Rotational Motion Test - 29

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Question 1
4 / -1

A round uniform body of radius R, mass M and moment of inertia I, rolls down (without slipping) an inclined plane making an angle θ with the horizontal. Then its acceleration is

A

B

C

D

Solution
Question 2
4 / -1

Two identical discs of same radius R are rotating about their axes in opposite directions with the same constant angular speed ω. The discs are in the same horizontal plane. At time t = 0, the points P and Q are facing each other as shown in the figure.The relative speed between the two points P and Q is v_r . In one time period (T) of rotation of the discs, v_r as a function of time is best represented by

A

B

C

D

Solution
Question 3
4 / -1

A car of mass 2000 kg is moving with a speed of 10 ms^-1 on a circular path of radius 20m on a level road. What must be the frictional force between the car and the road so that the car does not slip ?

A
10⁴ N

B
10³ N

C
10⁵ N

D
10² N

Solution
Question 4
4 / -1

A car of mass 1000 kg moves on a circular track of radius 20 m. If the coefficient of friction is 0.64, then the max. velocity with which the car can move is

A
22.4 m/s

B
5.6 m/s

C
11.2 m/s

D
none of the above

Solution
Question 5
4 / -1

A solid cylinder of mass 20 kg rotates about its axis with angular speed 100 rad/s. The radius of the cylinder is 0.25 m. The K.E. associated with the rotation of the cylinder is

A
3025 J

B
3225 J

C
3250 J

D
3125 J

Solution
Question 6
4 / -1

A bucket tied at the end of a 1.6 m long string is whirled in a vertical circle with a constant speed. The minimum speed at which water from the bucket does not spil when it is at the highest position is

A
4 m/s

B
6.25 m/s

C
2 m/s

D
16 m/s

Solution
Question 7
4 / -1

A frictionless track ABCDE ends in a circular loop of radius R. A body slides down the track from A, which is at a height h = 5 cm. Maximum value of R for a body to complete the loop successfully is

A
2 cm

B
10/3 cm

C
15/4 cm

D
6 cm

Solution
Question 8
4 / -1

A nut bolt system has 20 threads per cm. Find the time taken to travel the nut 4 cm if it moves in the bolt at a rate 4 rots/sec.

A
80 s

B
40 s

C
30 s

D
20 s

Solution
Question 9
4 / -1

A

B

C

D
none of these

Solution
Question 10
4 / -1

Two particles A and B initially at rest move towards each other under a mutual force of attraction. At the instant when velocity of A is υ and that of B is 2 υ, the velocity of centre of mass of the system is

A
v

B
2v

C
3v

D
zero