Applied Mechanics and Graphic Statics

91. A weight 'W' is suspended at the free end of a light member hinged to a vertical wall. If the angle of inclination of the member with the upper wall is sec θ°, the force introduced in the member, is

1. W sec θ
2. W cos θ
3. W sin θ
4. W cossec θ

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92. According to Kennedy's theorem, if three bodies have plane motions, their instantaneous centres lie on

1. A point
2. A straight line
3. Two straight lines
4. A triangle

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93. According to Law of Triangle of Forces

1. Three forces acting at a point, can be rep-resented by the sides of a triangle, each side being in proportion to the force
2. Three forces acting along the sides of a triangle are always in equilibrium
3. If three forces acting on a, point can be represented in magnitude and direction, by the sides of a triangle taken in order, these will be in equilibrium
4. If the forces acting on a particle be represented in magnitude and direction by the two sides of a triangle taken in order, their resultant will be represented in magnitude and direction by the third side of the triangle, taken in opposite order

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94. An ordinate in a funicular polygon represents

1. Shear force
2. Resultant force
3. Bending moment
4. Equilibrium

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95. Angular acceleration of a particle may be expressed as

1. Radians/sec²
2. Degrees/sec²
3. Revolutions/sec
4. All the above

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96. At a given instant ship 'A' is travelling at 6 km/h due east and ship 'B' is travelling at 8 km/h due north. The velocity of 'B' relative to is

1. 7 km/hrs
2. 2 km/hrs
3. 1 km/hrs
4. 10 km/hrs

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97. At the instantaneous center, the velocity of the moving lamina at any instant is

1. Zero
2. Maximum
3. Minimum
4. Varying

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98. Ball 'A' of mass 250 g moving on a smooth horizontal table with a velocity of 10 m/s hits an identical stationary ball 'B' on the table. If the impact is perfectly elastic, the velocity of the ball just after impact would be

1. Zero
2. 5 m/sec
3. 10 m/sec
4. None of these

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99. Cartesian form of the equation of catenary is

1. y = c cosh x/c
2. y = c sinh x/c
3. y = c tan x/c
4. y = c sin x/c

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100. Centre of gravity of a thin hollow cone lies on the axis of symmetry at a height of

1. One-half of the total height above base
2. One-third of the total height above base
3. One-fourth of the total height above base
4. None of these

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