The centre of gravity of a trapezoidal dam section whose top width is a, bottom

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Question
The centre of gravity of a trapezoidal dam section whose top width is a, bottom width is b and the vertical side is a, from its vertical face is
Options
A.
B.
C.
D. none of these.

Correct Answer

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1. The acceleration of a particle moving along the circumference of a circle with a uniform speed, is directed
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A. radially
B. tangentially at that point
C. away from the centre
D. towards the centre.

3. A particle executes a simple harmonic motion. While passing through the mean position, the particle possesses
Options
A. maximum kinetic energy and minimum potential energy
B. maximum kinetic energy and maximum potential energy
C. minimum kinetic energy and maximum potential energy
D. minimum kinetic, energy and minimum potential energy
E. none of these.

4. To double the period of oscillation of a simple pendulum
Options
A. the mass of its bob should be doubled
B. the mass of its bob should be quadrupled
C. its lenght should be quadrupled
D. its length should be doubled.

5. From a circular plate of a diameter 6 cm is cut out a circle whose diameter is equal to the radius of the plate. The C.G. of the remainder from the centre of circular plate is at a distance of
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A. 2.0 cm
B. 1.5 cm
C. 1.0
D. 0.5 cm.

6. A train weighing 196 tonnes experiences a frictional resistance of per tonne. The speed of the train at the top of a down gradient 1 in 78.4 is 36 km/hour. The speed of the train after running 1 km down the slope, is
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A. 510 m/sec
B. 105 m/sec
C. 53 m/sec
D. 35 m/sec.

7. If a particle moves with a uniform angular velocity ? radians/sec along the circumference of a circle of radius r, the equation for the velocity of the particle, is
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A. v = ?
B. y = ? y - r
C. v = ?
D. v = ?

8. A body of weight 14 g appears to weight 13 g when weighed by a spring balance in a moving lift. The acceleration of the lift at that moment was
Options
A. 0.5 m/sec²
B. 0.7 m/sec²
C. 1 m/sec²
D. 1 cm/sec².

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