#### Applied Mechanics

1

If two equal forces of magnitude P act at an angle theta, their resultant, will

A. p cos theta/2
B. 2psin theta/2
C. p tan theta/2
D. 2p cos theta/2
E. p sin theta/2

2

Moment of interia of a squares of side fa about an axis through its centre of gravity, is

A. b^3/4
B. b^4/12
C. b^4/3
D. b^4/8
E. b^4/36

3

M.I. of solid sphere, is

A. 2/3 Mr^2
B. 2/5 Mr^2
C. Mr^2
D. pi r^4 /2
E. 1/2Mr^2

4

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

A. (gra)/(h)
B. sqrt((gra)/(h))
C. root[3]((rga)/(h))
D. root[4]((gra)/(h))

5

The moment of inertia of a triangular section (base b, height h) about centroidal axis parallel to the base, is

A. (b^3 h)/(12)
B. (bh^3)/(3)
C. (bh^3)/(36)
D. (bh^3)/(2)
E. (bh^3)/(8)