Engineering mechanics

1: The velocity ratio of a differential wheel and axle with D as the diameter of effort wheel and d₁,and d₂ as the diameters of larger and smaller axles respectively, is

A. `(D)/(d_1 + d_2)`

B. `(D)/(d_1 - d_2)`

C. `(2D)/(d_1 + d_2)`

D. `(2D)/(d_1 - d_2)`

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2: 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

A. `l omega`

B. `lomega^2`

C. `0.5 l omega`

D. `0,5 l omega^2`

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A. `(Sigma V)^2 +(Sigma H)^2`

B. `sqrt((Sigma V)^2 +(Sigma H)^2)`

C. `(Sigma V)^2 + (Sigma H)^2 + 2(Sigma V)(Sigma H)`

D. `sqrt((Sigma V)^2 + (Sigma H)^2 + 2(Sigma V)(Sigma H))`

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4: The cartesian equation of trajectory is(where u = Velocity of projection, `alpha` = Angle of projection, and x, y = Co-ordinates of any point on the trajectory after t seconds.)

A. `y = (gx^2)/(2u^2 cos 2 alpha) + x tan alpha`

B. `y = (gx^2)/(2u^2 cos 2 alpha) - x tan alpha`

C. `y = x tan alpha - (gx^2)/(2u^2 cos alpha)`

D. `y = x tan alpha + (gx^2)/(2u^2 cos alpha)`

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A. all the forces are equally inclined

B. sum of all the forces is zero

C. sumof resolved parts in the vertical direction is zero (i.e. `Sigma`V = 0)D.

D. none of these

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