Engineering Mechanics (EM) SPPU Endsem Question Paper Apr 2025

Questions

1. Q1

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   2. a)

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   3. c)

      50 N d) 110 N ii) A simply support beam of span 1 m is loaded with uniformly varying load of 10 N/m to 20 N/m from left to right end, find the reaction at left end support.

   4. a)

      This part has equations that don’t show as text. Open the PDF to read it.

   5. c)

      8.33 Downward d) 8.33 Upward iii) Find the maximum force P required to move a block of mass 800 N resting on a rough floor having  s = 0.25.

   6. a)

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   7. c)

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   8. a)

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   9. c)

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   10. a)

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   11. c)

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2. Q2

   1. Solve any two of the following :

   2. a)

      Find the resolve components of the force 300 N acting along the axis u and v as shown in Fig. 2 a .

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   3. b)

      Determine the magnitude F and the angle  of force F as shown in Fig. 2 b so that the resultant of the three forces acting on the point O is zero. Fig. 2 a Fig. 2 b

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   4. c)

      A 150 × 300 mm plate is subjected to four forces as shown in Fig. 2c . Determine the resultant of the four forces with respected to point F.

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   5. d)

      Locate the centroid of the shaded plane lamina with respect to orgin O as shown in Fig. 2 d .

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3. Q3

   1. Solve any two of the following :

   2. a)

      A 1.5 m cable placed around a crate as shown in Fig. 3 a . If the mass of the crate is 300 kg, determine the tension in the cable. N SPPU QUESTION PAPER www.mysppu.in Page 2 MySPPU · Engineering Mechanics Page 2 of 6 3

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   3. b)

      The wall crane is supported by smooth collar at B and pin at A as shown in Fig. 3 b . Determine the components of reaction at A and the horizontal reaction at B.

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   4. c)

      A cylinder of mass 100 kg rest between the inclined plane as shown in Fig. 3 c . Determine the normal reaction at A and B.

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   5. d)

      Determine the support reaction at A and B for the simply supported beam loaded and supported as shown in Fig. 3 d .

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4. Q4

   1. Solve any two of the following :

   2. a)

      Determine the horizontal force P needed to just start moving the 30 kg block up the plane as shown in Fig. 4 a. Take  s = 0.25 [6] SPPU QUESTION PAPER www.mysppu.in Page 3 MySPPU · Engineering Mechanics Page 3 of 6 4

   3. b)

      A flexible cable which supports the 100 kg block is passed over a fixed circular drum shown in Fig. 4 b subjected to a force P to maintain equilibrium. If the coefficient of friction between the cable and drum is  s = 0.3, determine the range of P.

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   4. c)

      The 15 m ladder has a uniform weight of 80 N and rest against the smooth wall at B shown in Fig. 4 c . If the coefficient of statics friction at A is  A = 0.4. Determine the smallest angle  at which the ladder will not slip.

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   5. d)

      Determine the forces in each member of the truss in terms of external loading as shown in Fig. 4 d .

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5. Q5

   1. Solve any two of the following :

   2. a)

      A motorist enters a freeway at 36 kmph and accelerate uniformly to 90 kmph. From the odometer in the car, the motorist knows that she traveled 0.2 km while accelerating. Determine a) the acceleration of the car and b) the time required reach 90 kmph.

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   3. b)

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   4. c)

      Water flows from a drain spout with an initial velocity of 0.75 m/s at an angle of 75° with the vertical as shown in Fig. 5 c . Determine the range of values of the distance d for which the water will enter the trough BC.

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   5. d)

      This part has equations that don’t show as text. Open the PDF to read it.

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6. Q6

   1. Solve any two of the following :

   2. a)

      The initial velocity of the block at A is 9 m/s. The coefficient of kinetic friction between the block and the plane is  k = 0.30 as shown in Fig. 6 a. Find the time it takes for the block to reach at B with zero velocity.

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   3. b)

      A ball has a mass of 30 kg is thrown upward with a speed of 15 m/s. Determine the time and distance traveled by the ball before stopping. Use impulse momentum principle. [6] SPPU QUESTION PAPER www.mysppu.in Page 5 MySPPU · Engineering Mechanics Page 5 of 6 6

   4. c)

      A woman having a mass of 70 kg stands in an elevator which has a downward acceleration of 4 m/s 2 starting from rest. Determine work done by her weight and the work of the normal force which the floor exerts on her when the elevator descends 6 m.

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   5. d)

      Disk A has a mass of 250 g and is sliding on a smooth horizontal surface with an initial velocity of 2 m/s. It makes direct collision with disk B, which has a mass of 175 g and is originally at rest as shown in Fig 6 d. If both disks are of the same size and the collision is perfectly elastic, determine the velocity of each disk just after collision. ♦♦♦ SPPU QUESTION PAPER www.mysppu.in Page 6 MySPPU · Engineering Mechanics Page 6 of 6

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