1 (a)
Find forces P and Q such that resultant of given system is zero.

4 M

1 (b)
A cylinder B, W

_{B}=1000 N, dia 40 cm, hangs by cable AB=40 cm rests against a smooth wall. Find out reaction at C and TAB.
4 M

1 (c)
A block of weight 1000 N is kept on a rough inclined surface. Find out range of P for which the will block will be in equilibrium.

4 M

1 (d)
A curvilinear motion of a particle is defined by V

_{X}= 25 - 8t m/s and y=48 - 3t^{2}m. At t=0, x=0, Find out position, velocity and acceleration at t=4 sec.
4 M

1 (e)
State D' Alembert's principle with two examples.

4 M

2 (a)
Find out resultant of given (lever) forces system w.r.t. "B"

6 M

2 (b)
Two identical cylinders dia 100 mm weight 200 N are placed as shown. All contacts are smooth. Find out reaction at A,B and C.

8 M

2 (c)
A ball of mass m kg hits an inclined smooth surface with a velocity V

_{A}=3 m/s. Find out velocity of rebound.
6 M

3 (a)
Find centoid of the shaded area.

8 M

3 (b)
Explain conditions for equilibrium for forces in space.

6 M

3 (c)
Explain work energy principle.

6 M

4 (a)
Find the support reaction at Hinge A and Roller B.

8 M

4 (b)
Explain x-t, v-t and a-t curves in Kinematics.

6 M

4 (c)
Collar B moves up with velocity V

_{B}=2 m/s. Rod AB is pinned at B. Find out angular velocity of AB and velocity of A.
6 M

5 (a)
Find out forces in FB and BE using method of section and other members by method of joints.

8 M

5 (b)
A stone is thrown vertically upwards and returns to the starting point at the ground in 6 sec. Find out max. height and initial velocity of stone.

6 M

5 (c)
Explain instantaneous centre of rotation.

6 M

6 (a)
Force F=(3j - 4j + 12k)N acts at point A(1, -2, 3). Find -

(i) Moment of force about origin

(ii) Moment of forces about point B(2,1,2)m

(i) Moment of force about origin

(ii) Moment of forces about point B(2,1,2)m

4 M

6 (b)
Find out min, value of P to start the motion.

8 M

6 (c)
For a particle in rectilinear motion a= -0.05V

^{2}m/s^{2}, at v=20 m/s, x=0. Find x at v=15 m/s and acc_{n}at x=50 m.
4 M

6 (d)
Sphere A is supported by two wires AB, AC. Find out tension in wire AC :-

(i) before AB is cut

(ii) just after AB is cut

(i) before AB is cut

(ii) just after AB is cut

4 M

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