A vehicle weighing w kg is to run on a circular curve of radius r. If the height

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A vehicle weighing w kg is to run on a circular curve of radius r. If the height of its centre of gravity above the road level is h and the distance between the centres of wheels is 2a, the maximum velocity, in order to avoid over turning, will be
Options
A.
B.
C.
D.

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Applied Mechanics problems

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1. Two parallel forces 20 kg and 15 kg act. In order that the distance of the resultant from 20 kg force may be the same as that of the former resultant was from 15 kg, the 20 kg force is diminished by
Options
A. 5.5 kg
B. 6.25 kg
C. 8.75 kg
D. 10.5 kg.

2. Periodic time of body moving with simple harmonic motion, is
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A. directly proportional to its angular velocity
B. directly porportional to the square of its angular velocity
C. inversly proportional to the square of its angular velocity
D. inversely proportional to its angular velocity.

5. Pick up the correct statement from the following :
Options
A. If two equal and perfectly elastic smooth spheres impinge directly, they interchange their velocities.
B. If a sphere impinges directly on an equal sphere which is at rest, then a fraction (1 - e²) the original kinetic energy is lost by the impact.
C. If a smooth sphere impinges on another sphere, which is at rest, the latter will move along the line of centres.
D. If two equal spheres which are perfectly elastic impinge at right angles, their direction after impact will still be at right angles.
E. All the above.

6. A point subjected to a number of forces will be in equilibrium, if
Options
A. sum of resolved parts in any two directions at right angles, are both zero
B. algebraic sum of the forces is zero
C. two resolved parts in any two directions at right angles are equal
D. algebraic sum of the moments of the forces about the point is zero
E. none of these.

7. The centre of gravity of a plane lamina will not be at its geometrical centre if it is a
Options
A. circle
B. equilateral triangle
C. rectangle
D. square
E. right angled triangle.

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