Engineering FE Engineering Common Sem 1 2022 December 2022 R 16 Engineering Mechanics Question Paper - Mumbai University | munotes

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Questions asked in this paper

Q1 Question No. 1 is compulsory
Q2 Attempt Any Three questions from the remaining Five questions
Q3 Assume suitable data wherever necessary and clearly mention the same
Q4 Take m/s’ Answer any FIVE questions 20 A Three Coplanar Forces act at a point on a bracket as shown in figure. 4 Determine the value of angle ‘a’ such that the resultant of the given system will be vertical. Also find the magnitude of the resultant B Locate the centroid of the shaded region with reference to the 4 C Block ‘A’ of weight 1000N is kept on a rough inclined surface of 4 Find the upper limit of force ‘P’ that disturbsthe equilibrium. Take p D A car starts from rest and moves in a straight line such that for a short 4 time its velocity is defined by the equation V = (9t? + 2t) m/s, where t = time in seconds. Determine the position and acceleration of the car E A block of 50 kg mass is pushed down a sloping surface with an 4 initial velocity of 25 m/s. Determine time and distance covered by the block before it comes to rest on the slope. Take = 0.4 F A ladder PQ of length 6 m rests on a horizontal floor at P and leans 4 against a vertical wall at Q. If the lower end P is pulled away from the wall with a constant velocity 5 m/s, what is the angular velocity of the ladder at the instant when P is 2.5 m from the wall. Also calculate the sliding velocity of Q against the wall A Determine the resultant of the 650 N 8 force system acting on a Cc B rectangular plate as shown in the diagram. Locate its intercepts on OA and OC sides of the plate. 4m B Locate the centroid of the Y 6 shaded region with reference R7m to the coordinate axis C Two smooth balls A (5kg) and B 6 (3kg) strike each other with velocities at angles as shown in the figure on right. If e = 0.7, find the velocities of the balls after the A Determine the magnitude of the force that will cause the motion of the 8 system to impend B Two identical homogenous spheres P and Q of weight 3000 N and 6 diameter 1m are resting against an inclined L-bracket as shown. Determine the contact point reactions at points 1, 2, 3, 4 assuming smooth surfaces C A point moves along a curved path y = with a constant speed of 8 m/s. 6 Determine the x and y components of the velocity, the radius of curvature and the total acceleration at the instant when x = 3m A Find the reactions at the supports A & E for the given beam shown in 8 B When the mechanism of figure is in the position shown, the angular 6 velocity of bar AB is 3 rad/s clockwise. Using instantaneous center of rotation, calculate the angular velocity of bar BC and the velocity of slider C for this position C A vertical pole AB of 8 m high is held upright using three cables FC, BD 6 and BE as shown in the diagram. If the forces passing through these cables are F; = 500 N, F2 = 800 N and F3 = 600 N respectively, find the resultant force and couple at origin A A For the pin jointed truss loaded as shown, find: 8
- a) Support reactions at A and B
- b) Identify and justify the zero force members in the truss system
- c) Forces in members EC, ED and DF by method of sections B A wheel of diameter 1.6 m is rolling clockwise along a straight path 6 without slipping. Determine the velocity of points A, B and P.Take OP = 600 mm and Vo = 4 m/s to the right C A block of mass 80 kg is compressed against a spring as shown. Determine 6 the how far the distance from point B will the block strike the floor. Take free length of the spring as 0.9 m and the spring stiffness k = 40 x N/m
Q6 All questions are compulsory A A ball is projected from top of a tower 110 m high with velocity 100 m/s 5 and angle to horizontal. Neglecting air resistance, determine: 20 marks
Q1 Maximum height reached by the ball above the ground
Q2 Horizontal distance it travels before it strikes the ground
Q3 Velocity with which it strikes the ground B Determine the acceleration of A and B and the tension in the cable due to 5 the application of 300 N force on A. Neglect the friction and masses of C Using principle of Virtual work, determine the value of mass ‘m’ of the 5 body for the equilibrium. Take AB = 2 m and BC = 1 m D For a particle moving along a straight line, the a - t graph is shown. 5 Construct the v - t and x - t graphs for the same if at t= 0, x = 10 m and v=

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