Applied Mechanics and Graphic Statics

121. From the circular plate of a diameter 6 cm is cut out a circular plate whose diameter is equal to radius of the plate. The C.G. of the remainder shifts from the original position through

1. 0.25 cm
2. 0.50 cm
3. 0.75 cm
4. 1.00 cm

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122. If 'l' is the span of a light suspension bride who's each cable carries total weight (w) and the central dip is'y', the horizontal oull at each support, iscentral dip is , the horizontal pull at each support, is

1. wl/4y
2. wl/8y
3. wl/2y
4. wl

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123. if 'a' and 'u' are the angle of projection and initial velocity of a projectile respectively, the horizontal range of the projectile, is

1. ² sin a/g
2. ² sin² a/g
3. ² sin a/2g
4. ² sin² a/2g

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124. If a ball which is dropped from a height of 2.25 m on a smooth floor attains the height of bounce equal to 1.00 m, the coefficient of the restitution between the ball and floor, is

1. 0.25
2. 0.5
3. 0.67
4. 0.33

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125. If a body is acted upon by a number of coplanar non-concurrent forces, it may

1. Rotate about itself without moving
2. Move in any one direction
3. Move in any one direction rotating about itself
4. All the above

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126. If a body is lying on a plane whose inclination with the horizontal is less than the angle of friction, then?
(i) A force is required to move the body upwards
(ii) A force is required to move the body downward
(iii) The body will not be in equilibrium
The correct answer is

1. Only (i)
2. Only (ii)
3. Both (i) and (ii)
4. Both (i) and (iii)

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127. If a body moves in such a way that its velocity increases by equal amount in equal intervals of time, it is said to be moving with

1. A uniform retardation
2. A uniform acceleration
3. A variable acceleration
4. A variable retardation

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128. If A is the amplitude of particle executing simple harmonic motion, then the total energy E of the particle is

1. Proportional to A
2. Proportional to A²
3. Proportional to 1/A²
4. Independent of A

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129. If a particle is projected inside a horizontal tunnel which is 554 cm high with a velocity of 60 m per sec, the angle of projection for maximum range, is

1. 8°
2. 9°
3. 10°
4. 11°

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130. if a particle moves with uniform angular velocity 'ω' radians/sec along the circumference of a circle of radius 'r', the equation for the velocity of the particle, is

1. v = ω √(y² - r²)
2. y = ω √ (y - r)
3. v = ω √ (r² + y²)
4. v = ω √ (r² - y²)

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