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Systems of Particles and Rotational Motion Test - 29
Systems of Particles and Rotational Motion Test - 29
Result
Systems of Particles and Rotational Motion Test - 29
/
Score
-
Rank
Time Taken:
-
Question
1/10
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
Correct
Wrong
Skipped
A
Correct
Wrong
Skipped
B
Correct
Wrong
Skipped
C
Correct
Wrong
Skipped
D
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Solutions
Question
2/10
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
Correct
Wrong
Skipped
A
Correct
Wrong
Skipped
B
Correct
Wrong
Skipped
C
Correct
Wrong
Skipped
D
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Solutions
Question
3/10
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 ?
Correct
Wrong
Skipped
A
10
4
N
Correct
Wrong
Skipped
B
10
3
N
Correct
Wrong
Skipped
C
10
5
N
Correct
Wrong
Skipped
D
10
2
N
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Solutions
Question
4/10
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
Correct
Wrong
Skipped
A
22.4 m/s
Correct
Wrong
Skipped
B
5.6 m/s
Correct
Wrong
Skipped
C
11.2 m/s
Correct
Wrong
Skipped
D
none of the above
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Solutions
Question
5/10
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
Correct
Wrong
Skipped
A
3025 J
Correct
Wrong
Skipped
B
3225 J
Correct
Wrong
Skipped
C
3250 J
Correct
Wrong
Skipped
D
3125 J
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Solutions
Question
6/10
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
Correct
Wrong
Skipped
A
4 m/s
Correct
Wrong
Skipped
B
6.25 m/s
Correct
Wrong
Skipped
C
2 m/s
Correct
Wrong
Skipped
D
16 m/s
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Solutions
Question
7/10
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
Correct
Wrong
Skipped
A
2 cm
Correct
Wrong
Skipped
B
10/3 cm
Correct
Wrong
Skipped
C
15/4 cm
Correct
Wrong
Skipped
D
6 cm
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Solutions
Question
8/10
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.
Correct
Wrong
Skipped
A
80 s
Correct
Wrong
Skipped
B
40 s
Correct
Wrong
Skipped
C
30 s
Correct
Wrong
Skipped
D
20 s
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Solutions
Question
9/10
4 / -1
Correct
Wrong
Skipped
A
Correct
Wrong
Skipped
B
Correct
Wrong
Skipped
C
Correct
Wrong
Skipped
D
none of these
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Solutions
Question
10/10
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
Correct
Wrong
Skipped
A
v
Correct
Wrong
Skipped
B
2
v
Correct
Wrong
Skipped
C
3
v
Correct
Wrong
Skipped
D
zero
Re-attempt
-
Correct (
-
)
Wrong (
-
)
Skipped (
-
)
1
2
3
4
5
6
7
8
9
10
Re-attempt
-
Correct (
-
)
Wrong (
-
)
Skipped (
-
)
1
2
3
4
5
6
7
8
9
10
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