The radius of gyration of a solid sphere of radius r is equal to a.0.8 r2 b.0.2 r2 c.0.3 r2 d.0.4 r2 e.0.5 r2

The radius of gyration of a solid sphere of radius r is equal to a.0.8 r2 b.0.2 r2 c.0.3 r2 d.0.4 r2 e.0.5 r2
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Answer :

d. 0.4 r2
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Description : A sphere of radius r is cut from larger sphere of radius R. The distance between their centre is a. The centroid of the remaining valoume lies on the line of centres and the sistanc from the centre of the larger sphere is a.ar2 / (R2 - r2) b.107 dynes c.aR/(R2-r2) d.aR/(R - r) e.ar3 / (R3 - r3)

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Description : A couple applied to a flywheel of mass 5 kg and of radius of gyration 20 cm produces an angular acceleration of 4 radians/sec2. The torque applied in dyne cm is a.8 x 104 b.8 x 106 c.8 x 107 d.8 x 108 e.8 x 1010

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Description : A 100 kg flywheel having a radius of gyration of 1 m is rotating at 1000 rpm. The angular momentum of the flywheel about its axis of rotation, in kg m2/s is a.1000 b.107 dynes c.10000 d.10470 e.5235

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Description : A cannon of weight 10 tonnes fires a shell of 50 kg with a muzzle velocity of 900 m/sec at an angle of 30?. The time taken for the shell to emerge from the barrel is 0.004 sec. The velocity of the cannon would be a.3.9 m/sec b.7.8 m/sec c.8.95 m/sec d.1.95 m/sec e.5.85 m/sec

Last Answer : a. 3.9 m/sec

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Description : A 5 m ladder of mass 25 kg is placed in a position where its inclination to a vertical wall is at 30?. A 100 kg man is to climb the ladder. If the coefficient of static friction is 0.25 the height along ladder at which the slipping will be induced would be a.2.4 m b.1.6 m c.0.8 m d.1.2 m e.0.5 m

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Description : The moving parts of a machine which weigh 1 tonne perform vertical simple harmonic motion with an amplitude of 2.5 cm and a period of 0.5 sec. The base of the machine weighs 3 tonnes and rests on the ground. Maximum ... would be a.3.6 tonnes b.2.4 tonnes c.4.0 tonnes d.4.8 tonnes e.4.4 tonnes

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Description : A weight of 4.9 N rests on a rough horizontal floor that has a coefficient of friction of 0.5. If g = 9.8 m/s2, the smallest horizontal force that gives the weight an acceleration of 4m/s2 is most nearly a.2.5 N b.3 N c.2 N d.4.5 N e.4.9 N

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Last Answer : (B) r1. r2/(r2- r1)

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Description : When two concurrent and coplaner forces P and Q act at an angle of 180?, their resultant will be a a.moment equal to PQ b.couple c.(P-Q) d.107 dynes e.zero

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Description : If the positive and negative shear force diagram areas are not equal, it can be concluded that a.shear force diagram has been wrongly drawn b.there is at least one couple acting on the beam c.107 dynes d.there are at least two maxima for bending moment e.bending moment does not change sign

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Description : If two bodies one light and one heavy have equal kinetic energies, which one has a greater momentum? a.Momentum depends on velocities b.Heavy body c.Both have equal momentum d.Nothing can be concluded on the basis of information provided e.Light body

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Description : Plastic collosion of two bodies of equal mass results in a common velocity after impact which is a.Sum of their initial velocities b.Difference of their initial velocities c.Average of their initial velocities d.Independent of their initial velocities e.None of the above

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