A. 4
B. 6 7i
C. 8TC
D. 8
0
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The torque produced by a force depends on__________________?
0
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A sphere and a cylinder having the same mass and radii start from rest and roll down the same inclined plane. Which body gets to the bottom first ?
1) the magnitude of the force
2) the direction of the force
3) the’point of application of the force relative to origin
The correct answer is?
A. only (1)
B. both (1) and (2)
C. both (1) and (3)
D. all (1), (2) and (3)
0
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A solid cylinder of mass M and radius R rolls down an inclined plane without slipping. The acceleration of center of mass of rolling cylinder is________________?
A. sphere with greater rotational energy at bottom than cylinder
B. sphere with lesser rotational energy at bottom than cylinder
C. cylinder with greater rotational energy at bottom than sphere
D. both reach the bottom simultaneously with equal rotational energy at bottom
0
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A cylinder will slip on an inclined plane of inclination 0 if the coefficient of static friction between plane and cylinder is_____________________?
A. (1/3) g sinB
B. (2/3) g cos 9
C. (2/3) g sin 0
D. g sin 9
where ‘g’ is acceleration due to gravity and 0 is inclination of plane with horizontal
0
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If the angular distance, 0 = 2t3 – 3t2, the angular acceleration at t = 1 sec. is__________________?
A. less than (1/3) tan 0
B. less than (2/3) tan 0
C. less than (1/3) sin 6
D. less than (2/3) sin 6
0
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A particle moves in a straight line and its position is defined by the equation x = 6 t2 – t3 where t is expressed in seconds and x in meters. The maximum velocity during the motion is_________________?
A. 1 rad/sec2
B. 4 rad/sec2
C. 6 rad/sec2
D. 12 rad/sec2
0
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Instantaneous center is at infinity when the angular velocity is _________________?
A. 6 m/sec
B. 12 m/sec
C. 24 m/sec
D. 48 m/sec
0
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A 2 m long ladder rests against a wall and makes an angle of 30° with the horizontal floor. Where will be the instantaneous center of rotation when the ladder starts slipping ?
A. constant
B. zero
C. maximum
D. minimum
0
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The angle of projection at which the horizontal range and maximum height of a projectile are equal to_____________________?
1) 1.0 in from the wall
2) 1.732 m from the wall
3) 1.0 m above the floor
4) 1.732 m above the floor
The correct answer is?
A. (1) and (3)
B. (1) and (4)
C. (2) and (3)
D. (2) and (4)