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?
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
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A light rope is loaded with many equal weights at equal horizontal intervals. The points of suspension on the rope lie on a
A. Parabola
B. Catenary
C. Cycloid
D. Ellipse
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If the resultant of two forces has the same magnitude as either of the force, then the angle between the two forces is
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If the resultant of two forces P and Q acting at an angle θ makes an angle α with P, then tan α equals
A. P − Q cos θ P sin θ
B. P + Q cos θ Q sin θ
C. P + Q tan θ P sin θ
D. P + Q sin θ Q sin θ
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The motion of a particle moving with S.H.M. from an extremity to the other, constitutes
A. Half an oscillation
B. One full oscillation
C. Two oscillations
D. None of these
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The unit of Moment of Inertia of a body, is
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The angle of projection at which the horizontal range and maximum height of a projectile are equal to
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The angle of projection at which the horizontal range and maximum height of a projectile are equal to
A. 45
B. θ = tan − 1 ( 0.25 )
C. θ = tan − 1 4 or θ = 70
D. 60
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A rigid body is in a stable equilibrium if the application of any force
A. Can raise the CG of the body but cannot lower it
B. Tends to lower the CG of the body
C. Neither raises nor lowers the CG of the body
D. None of above
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What is the answer to this question?
A. 10.8 t
B. 10.6 t
C. 10.4 t
D. 10.2 t
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What is the answer to this question?
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Which of the following represents the state of neutral equilibrium?
A. A cube resting on one edge
B. A smooth cylinder lying on a curved surface
C. A smooth cylinder lying on a convex surface
D. None of the above
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A square hole is made in a circular lamina, the diagonal of the square is equal to the radius of the circle as shown in below figure the shift in the centre of gravity is
A. ( π − 0.5 ) r ( π − 0.75 )
B. ( π − 0.75 ) r ( π − 0.25 )
C. ( π − 0.75 ) r ( π − 0.5 )
D. ( π − 0.25 ) r ( π − 0.5 )
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The potential energy of a particle falling through a straight shaft drilled through the earth (assumed homogenous and spherical) is proportional to (where r is the distance of’the particle from centre of the earth)
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A stone is whirled in a vertical circle, the tension in the string, is maximum
A. When the string is horizontal
B. When the stone is at the highest position
C. When the stone is at the lowest position
D. At all the positions
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The graphical method of determining the forces in the members of a truss is based on
A. Method of joint
B. Method of section
C. Either method
D. None of the two methods
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The shape of a suspended cable under its own weight, is
A. Parabolic
B. Circular
C. Catenary
D. Elliptical
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The maximum value of the horizontal range for a projectile projected with a velocity of 98 m/sec is
A. 98 m
B. 490 m
C. 980 m
D. 1960 m
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A geo-stationary satellite is one which orbits the earth with a velocity of rotation of
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A particle moving with a simple harmonic motion, attains its maximum velocity when it passes
A. The extreme point of the oscillation
B. Through the mean position
C. Through a point at half amplitude
D. None of these
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