Assignment - I

VARDHAMAN COLLEGE OF ENGINEERING(AUTONOMOUS)

Shamshabad– 501 218, Hyderabad Engineering Mechanics-I

Assignment-I

1 Determine the resultant of a system of four coplanar concurrent forces as shown in fig

Ans (R=49N theta = -29degree)2 The following forces act at a point:

i) 20N inclined at 300towards North of eastii) 25 N towards Northiii) 30N towards north westiv) 35N inclined at 400 towards south of west

Find the magnitude and direction of the resultant force R=45.6N, theta= 47.42

3 Determine the resultant of four forces acting on a body shown in fig.

R= 3.035KN,theta= 68.864 A strut AB supporting a block of weight 500N is held by a cable BC as shown in Fig.5. Find the

tension T in the cable BC and the force S in the strut AB. Neglect the weight of the strut:

Fig.55 A light string ABCDE is fixed to a vertical wall at one end A and a load 20kgf is hanging freely at

the other end. If the system is in equilibrium, find the values of W1 and W2 and also find the tensions in the portions of the string AB,BC and CD.(consider the peg D to be smooth and BC to be horizontal, kgf=9.81N):

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Assignment - I

Fig.56 Two cylinders rest in a channel as shown in Fig.6. The cylinder P has diameter of 100mm and

weighs 200N, whereas the cylinder Q has diameter of 180mm and weighs 500N. If the bottom of the box is 180mm with one side vertical and other inclined at 60°. Determine the reaction at contact of cylinders:

Fig.6

7 Three cylinders A, B and C each weighing 100N and diameter 80mm are placed in a channel of 180mm width as shown in Fig.6. Determine the pressure exerted by the cylinder A and B at the point of contact:

Fig.68 Evaluate the magnitude of the resultant force for the given structure as shown in Fig.7:

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Assignment - I

Fig.79 Evaluate the moment of the force about O point as shown in Fig.9:

Fig.91011 Two blocks of weight 500N and 900N connected by a rod are kept on an inclined plane as

shown in Fig1. Below. The rod is parallel to the plane. The coefficient of friction between 500N block and the plane is 0.3 and that between 900N block and the plane is 0.4. Find the inclination of the plane with the horizontal and the tension in the rod when the motion down the plane is just about to start

Fig.112 A ladder of length 4m, weighing 200N is placed against a vertical wall as shown in Fig.2. The

coefficient of friction between the wall and the ladder is 0.2 and that between the floor and the ladder is 0.3. In addition to self weight, the ladder has to support a man weighing 600N at a distance of 3m from A. Calculate the minimum horizontal force to be applied at A to prevent slipping.

Fig.213 A block weighing 500N just starts moving down a rough inclined plane when it is subjected to

200N force acting up the inclined plane and it is at the point of moving up the plane when pulled up by a force of 300N parallel to the plane. Find the inclination of the plane and the coefficient of friction between the inclined plane and the work.

14 A block weighing 10KN is to be raised by means 200 wedge. Determine what minimum horizontal P should be applied to raise the block .The angle of friction at the contact surfaces AC,AB and DE are 110, 140 and 140 respectively.

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Assignment - I

15 Find the least value of P required to move block

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