When a body of mass moment of inertia 'I ' (about a given axis) is rotated about that axis with an angular velocity to, then the kinetic energy of rotation is
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The minimum force required to slide a body of weight 'W' on a rough horizontal plane is
A. W sinθ
B. W cosθ
C. W tanθ
D. None of these
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The acceleration of a particle moving with simple harmonic motion, at any instant is given by
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The law of the machine is (where P = Effort applied to lift the load, m = A constant which is equal to the slope of the line, W = Load lifted and C = Another constant which represents the machine friction.)
A. P = mW - C
B. P = W m + C
C. P = mW + C
D. P = C - mW
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A machine having an efficiency greater than 50%, is known as
A. Reversible machine
B. Non-reversible machine
C. Neither reversible nor non-reversible machine
D. Ideal machine
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The centre of gravity of a right circular solid cone is at a distance of _________ from its base, measured along the vertical axis.
(where h = Height of a right circular solid cone.)
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The time of flight (t) of a projectile on a horizontal plane is given by
A. t = g 2 u sin α
B. t = g 2 u cos α
C. t = g 2 u tan α
D. t = g sin α 2 u
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The range of a projectile is maximum, when the angle of projection is
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In actual machines
A. Mechanical advantage is greater than velocity ratio
B. Mechanical advantage is equal to velocity ratio
C. Mechanical advantage is less than velocity ratio
D. Mechanical advantage is unity
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If three forces acting in one plane upon a rigid body, keep it in equilibrium, then they must either
A. Meet in a point
B. Be all parallel
C. At least two of them must meet
D. All the above are correct
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In ideal machines
A. Mechanical advantage is greater than velocity ratio
B. Mechanical advantage is equal to velocity ratio
C. Mechanical advantage is less than velocity ratio
D. Mechanical advantage is unity
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In determining stresses in frames by methods of sections, the frame is divided into two parts by an imaginary section drawn in such a way as not to cut more than
A. Two members with unknown forces of the frame
B. Three members with unknown forces of the frame
C. Four members with unknown forces of the frame
D. Three members with known forces of the frame
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A trolley wire weighs 1.2 kg per meter length. The ends of the wire are attached to two poles 20 meters apart. If the horizontal tension is 1500 kg find the dip in the middle of the span
A. 2.5 cm
B. 3.0 cm
C. 4.0 cm
D. 5.0 cm
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Coplanar non-concurrent forces are those forces which __________ at one point, but their lines of action lie on the same plane.
A. Meet
B. Do not meet
C. Either ‘A’ or ‘B’
D. None of these
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Which of the following do not have identical dimensions?
A. Momentum and impulse
B. Torque and energy
C. Torque and work
D. Moment of a force and angular momentum
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If ‘P’ is the force acting on the body, ‘m’ is the mass of the body and ‘a’ is the acceleration of the body, then according to Newton's second law of motion,
A. P + ma = 0
B. P - ma = 0
C. P × ma = 0
D. ma P = 0
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The angle of inclination of the plane at which the body begins to move down the plane, is called
A. Angle of friction
B. Angle of repose
C. Angle of projection
D. None of these
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If n = number of members and y = number of joints, then for a perfect frame, n = ?
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The velocity ratio for the third system of pulleys is
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Dynamic friction as compared to static friction is
A. Same
B. More
C. Less
D. May be less of more depending on nature of surfaces and velocity
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