Applied Mechanics and Graphic Statics

131. If a projectile is fired with an initial velocity of 10 m/sec at an angle of 60° to the horizontal, its horizontal and vertical velocity at the highest point of trajectory are

1. 0 and 5 m/sec
2. 5 m/sec and 0
3. 5√3 m/sec and 0
4. 5 and 5√3 m/sec

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132. If a set of given forces are such that their free vectors build a closed polygon, then

1. The resultant force and resultant couple are always zero
2. The resultant force is zero but resultant couple is not zero
3. The resultant force is zero but resultant couple may not be zero
4. The resultant force and resultant couple both may not be zero

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133. If a spherical body is symmetrical about its perpendicular axes, the moment of inertia of the body about an axis passing through its centre of gravity as given by Routh's rule is obtained by dividing the product of the mass and the sum of the squares of two semi-axes by Where, is

1. 2
2. 3
3. 4
4. 5

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134. Williot-Mohr diagram is used to determine deflection in

1. Trusses only
2. Beam only
3. Rigid frames only
4. Any type of structure

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135. If 'G' is the Gauge of track, 'V' is velocity of the moving vehicle, 'g' is the acceleration due to gravity and 'r' is the radius of a circular path, the required super elevation is

1. gv²/Gr
2. Gr²/gr
3. Gr²/gv²
4. Gv²/gv

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136. If g₁ and g₂ are the gravitational accelerations on two mountains A and B respectively, the weight of a body when transported from A to B will be multiplied by

1. g₁
2. g₂
3. g₁/g₂
4. g₂/g₁

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137. If the angle between the applied force and the direction of motion of a body, is between 90° and 180°, the work done, is called

1. Virtual work
2. Imaginary work
3. Zero work
4. Negative work

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138. If the angle of projection is double the angle of anclination (α) of the plane on which particle is projected, the ratio of times of flight up the inclined plane and down the inclined plane, will be

1. ½ cos α
2. ½ sin α
3. ½ tan α
4. 2 cos α

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139. If the angular distance, 0 = 2t³ - 3t², the angular acceleration at t = 1 sec. is

1. 1 rad/sec²
2. 4 rad/sec²
3. 6 rad/sec²
4. 12 rad/sec²

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140. If the direction of projection bisects the angle between the vertical and the inclined plane, then the range of projectile on the inclined plane is

1. Zero
2. Maximum
3. Minimum
4. None of these

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