1
Explain the principle of transmissibility.

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2
State the necessary and sufficient conditions for equilibrium of a particle in two dimensions.

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3
State Varignon's theorem of moments.

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4
What is meant by a force-couple system?

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5
Define centroid and centre of gravity of an area.

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6
What do you mean by polar moment of inertia?

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7
Write the working energy equation of particles.

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8
State impulse momentum principle

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9
Give the causes of rolling resistance.

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10
What is general plane motion?

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11 (a)
Determine the magnitude and direction of force F shown in fig. 1 so that particle 'A' is in equilibrium.

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11 (b)
Three cables are used to support the 10 kg cylinder show in Fig. 2. Determine the force developed in each cable for equilibrium.

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12 (a)
Determine the reaction at the pin at A and in the cable shown in Fig. 3 required to support the 300 kg crate. Neglect the weight of the connecting rod AB.

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12 (b)
Compute the moment of the force P=1500 N and of the force Q=1200 N shown in Fig. 4 about points A,B and C

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13 (a)
Determine the polar moment of inertia of the section shown in Fig. 5

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13 (b)
Determine the principal moment of inertia of the section shown in Fig 6.

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14 (a)
The 50 kg block shown in Fig 7 rests on a horizontal plane for which the coefficient of kinetic friction is 0.3. If the block is pulled by a 350 N force as shown, determine the velocity of the block after it has moved 65 m starting from rest. Use the principle of work and energy.

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14 (b)
The 50 kg block shown in Fig 8 is originally at rest on the smooth horizontal surface. Determine the time needed for the block to attain a velocity of 30 m/s if a force of 300 (N) is acting on the block as shown. Use principle of impulse and momentum.

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15 (a)
Calculate the static coefficient of friction ?

_{s}between the block shown in Fig. 9 having a mass of 75 kg and the surface. Also find the magnitude and direction of the friction force if the force P applied is inclined at 45° to the horizontal and ?_{s}=0.30
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15 (b)
A body rotates according to the relation ?=at

^{4}+ bt^{2}+ ct where a,b and c are constants. Determine the value of the constants a, b and c if the angular coordinate is 20 rad, angular velocity is 20 rad/s and angular acceleration is 16 rad/s^{2}at time t=2s.
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