Applied Mechanics and Graphic Statics

If a body is lying on a plane whose inclination with the horizontal is less than the angle of friction, then___________________?

1) a force is required to move the body upwards
2) a force is required to move the body downward
3) the body will not be in equilibrium
The correct answer is?

A. only (1)
B. only (2)
C. both (1) and (2)
D. both (1) and (3)

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A ladder of weight ‘w’ rests against a smooth vertical wall, and rests on rough horizontal ground, the coefficient of friction between the ladder and the ground being 1/4. The maximum angle of inclination of the ladder to the vertical, if a man of weight ‘w’ is to walk to the top of it safely, is tan’1 x, where x is___________________?

A. 1/4
B. 1/3
C. 3
D. 4

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The shape of a suspended cable for a uniformly distributed load over it is__________________?

A. circular
B. parabolic
C. catenary
D. cubic parabola

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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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A ball moving on a smooth horizontal table hits a rough vertical wall, the coefficient of restitution between ball and wall being 1/3. The ball rebounds at the same angle. The fraction of its kinetic energy lost is___________________?

A. 1/3
B. 2/3
C. 1/9
D. 8/9

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A ball is dropped from a height of 16 m on a horizontal floor. If it rebounds to a height of 9 m after striking the floor, the coefficient of restitution between ball and floor is_____________________?

A. 1/4
B. 2/3
C. 3/4
D. 4/3

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When a body slides down an inclined surface, the acceleration of the body is given by__________________?

A. g
B. gsinG
C. g cos 6
D. g tan 6

where ‘g’ is acceleration due to gravity and 9 is the angle of inclination of surface with the horizontal

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A shell travelling with a horizontal velocity of 100 m/sec explodes and splits into two parts, one of mass 10 kg and the other of 15 kg. The 15 kg mass drops vertically downward with initial velocity of 100 m/sec and the 10 kg mass begins to travel at an angle to the horizontal of tan”1 x, where x is______________________?

A. 3/4
B. 4/5
C. 5/3
D. 3/5

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A shell of mass 100 kg travelling with a velocity of 10 m/sec breaks into two equal pieces during an explosion which provides an extra kinetic energy of 20000 Joules. If the pieces continue to move in the same direction as before, then the speed of the faster one must be____________________?

A. 20 m/sec
B. 30 m/sec
C. 40 m/sec
D. 50 m/sec

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Two objects moving with uniform speeds are 5 m apart after 1 second when they move towards each other and are 1 m apart when they move in the same direction. The speeds of the objects are____________________?

A. 2 m/sec and 2 m/sec
B. 3 m/sec and 2 m/sec
C. 3 m/sec and 3 m/sec
D. 4 m/sec and 6 m/sec

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