1(a)
Determine the magnitude and direction of resultant with reference to point A for the force system as shown in Fig. 1(a) if side of equilateral triangle is 1m

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1(b)
If the crest of the hill has a radius of curvature r = 60 m, determine the maximum constant speed at which the car can travel over it without leaving the surface of the road. The car has a weight of 1.75 kN. Refer Fig. 1(b).

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1(c)
The acceleration of a particle as it moves along a straight line is given by a = (2t -1) m/s

^{2}, where t is in seconds. If s= 1m and v= 2m/s when t =0, determine the particle velocity and position when t = 6s.
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Solve any one question from Q.1(a,b,c,d) & Q.2(a,b,c,d)

1(d)
A tennis ball is dropped from a height 1600 mm and it rebounds to a height 1100mm. Determine the coefficient restitution.

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2(a)
Determine the position of centroid of the shaded area with respect to origin O as shown in Fig. 2(a).

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2(b)
The system shown in Fig.2(b) is initially at rest. Neglecting axle friction and mass of pulley, determine the acceleration of block A.

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2(c)
A projectile is launched with a speed of V

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_{0}= 25 m/s at an angle of θ=30° with horiziontal as shown in Fig. 2(c). Determine the maximum distance travelled by projectile along horiziontal and vertical direction.!mage

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2(d)
A ball has a mass of 30 kg is thrown upward with a speed of 15 m/s. Determine the time and distance travelled by the ball before stopping. Use impulse momentum principle.

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3(a)
Acylinder of mass 100 kg rest between the inclined plane as shown in Fig. 3(a) Determine the noramal reaction at A and B

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Solve any one question from Q.3(a,b,c) & Q .4(a, b,c)

3(b)
Four parallel bolting forces act on the rim of the circular cover plate as shown in fig. 3(b). If the resultant force 750 N is passing through (0.15, 0.1m) from the origin O, determine the magnitude of forces P

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_{1}and P_{2}!mage

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3(c)
Determine reaction at A and B for the beam loaded and supported as shown in Fig. 3(c). Moments are act at point C, D and E.

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4(a)
The wall crane is supported by smooth collar at B and pin at A as shown Fig. 4(a). If the vertical component of reaction at A is 10 kN, determine the force P, normal reaction at B and tangential of reaction at A.

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4(b)
The square steel plate has a mass of 1800 kg with mass center G as shown in Fig. 4(b). Determine the tension in each cable so that plate remains horiziontal.

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4(c)
Determine the component of reaction at image A and tension in the cable BC as shown in Fig. 4(c).

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Solve any one question from Q.5(a,b,c) & Q .6(a, b,c)

5(a)
Determine the distance s to which the 90 kg painter can limb wihout causing the 4m ladder to slip at its lower end A as shown in Fig.5(a). The top of the 15 kg ladder has a small roller and at the ground the coefficient of static friction μ

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_{s}=0.25. The mass center of the painter is directly above its feet.!mage

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5(b)
Determine support reaction and find the forces in magnitude and dirction of the memebers AD, BD and BC of the simply supported truss as shown in Fig. 5(b) by method of section. Tabulate the result with magnitude and nature of force in the members.

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5(c)
Determine the horiziontal force P needed to just start moving the 30 kg block up the plane as shown in Fig. 5(c). Take μ

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_{s}= 0.25 and &mu_{k}=0.2!mage

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6(a)
The cable segment support the loading as shown in Fig. 6(a). Determine the support reaction and maximum tension in segment of cable.

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6(b)
A chain having a weight of 1.5 N/m and a total length of 10 m is suspended over a peg P as shown in Fig. 6(b). If the coeficient of static friction between the peg and cord is μ

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_{s}= 0.25, determine the largest length h which one side of suspended cord can have without causing motion. Neglect the size of peg.!mage

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6(c)
Determine the forces in the members of the thruss loaded and supported as shown in the Fig. 6(c). Tabulate the result with magnitude and nature of force in the members.

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