Answer any one question from Q1 & Q2

1 (a)
The resultant of two forces P and Q is 1200 N horizontally leftward. Determine the force Q and corresponding angle ? for the system of force s as shown in Fig. 1a.

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1 (b)
The tanker is pulled with constant acceleration of 0.001 m/s

^{2}using cable that makes an angle of 10° with the horizontal as shown in Fig. 1b. If the force in the cable is 45.694 KN, determine the mass of tanker using Newton's 2^{nd}law of motion.

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1 (c)
An outdoor track is 126 m in diameter. A runner increases her speed at a constant rate from 4.2 to 7.2 m/s over a distance of 28.5 m. Determine the total acceleration of the runner 2 s after she begins to increase her speed.

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1 (d)
A 2 kg stone is dropped from a height h and strike the ground with a velocity of 24 m/s. Find the kinetic energy of the stone as it strikes the ground and the height h from which it was dropped using work energy method.

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2 (a)
Determine the y coordinate of centroid of the shaded area as shown in Fig. 2a.

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2 (b)
A sphere is fired into a medium with a initial speed of 27 m/s. If it experience a deceleration a=(-6t) m/s

^{2}, where t is in seconds, determine the distance traveled before it stop.
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2 (c)
The small 0.6 kg block slides on a smooth circular path of radius 3 m in the vertical plane. If the speed of the block is 5 m/s as it passes point A and 4 m/s as it passes point B, determine the normal force exerted on the block by the surface at each of these location. Refer Fig. 2 c.

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2 (d)
A railroad car having a mass of 15 Mg is coasting at 1.5 m/s on a horizontal track. At the same time another car having a mass of 12 Mg is coasting at 0.75 m/s in the opposite direction. If the car meet and couple together, determine the speed of both cars just after the coupling.

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Answer any one question from Q3 & Q4

3 (a)
Determine the magnitude of F

_{1}and F_{2}so that the particle is in equilibrium. Refer Fig. 3a.

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3 (b)
Determine the reactions at support for the beam loaded and supported as shown in Fig. 3b.

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3 (c)
A concrete foundation mat of 5 m radius supports four equally spaced columns, each of which is located 4 m from the centre of the mat. Determine the magnitude and point of application of the resultant of the four loads as shown in Fig. 3 c.

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4 (a)
A 300 mm wooden beam weighing 540N is supported by a pin and bracket at A and by cable BC. Find the reaction at A and tension in cable BC. Refer Fig. 4 a.

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4 (b)
A rectangular plate is supported by three cables at A as shown in Fig. 4 b. Knowing that the tension in cable AD is 120 N, determine the weight of the plate.

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4 (c)
State and explain Two Force and Three Force Principle for equilibrium with sketches.

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Answer any one question from Q5 & Q6

5 (a)
Determine the magnitude and nature of forces in the members AB, AH and GC of the truss loaded and supported as shown in Fig. 5 a.

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5 (b)
The 15 m ladder has a uniform weight of 80 N and rest against the smooth wall at B as shown in Fig. 5 b. If the coefficient of static friction between ladder and floor is ?

_{s}=0.4, determine the smallest angle ? at which the ladder will not slip.

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5 (c)
Define angle of repose, angle of friction, coefficient of friction and cone of friction with sketches.

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6 (a)
Determine the forces in number of HG, HC and BC in the truss as shown in Fig. 5a. Use method of section.

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6 (b)
Determine the horizontal force P needed to just moving the 300 N block up the plane. Take ?

_{s}=0.3 and refer Fig. 6b.

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6 (c)
Two loads are suspended as shown in Fig. 6C from cable ABCD. Knowing the d

_{c}=0.75 m and d_{b}=1.125 m, determine the component of reaction at A and maximum tension in the cable.

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