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EM Practice questions set with answers for class test-II_2023-24

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  (Q.2)   The acceleration of the particle is defined by the relation a = 25 - 3x 2 mm/s 2 . The particle starts with no initial velocity at the position x = 0. (a) Determine the velocity when x = 2 mm (b) the position when velocity is again zero, (c) position where the velocity is maximum and the corresponding maximum velocity. (Q.3)   Acceleration of a particle moving along a straight line is represented by the relation a = 30 - 4.5x 2 m/s 2 . The particle starts with zero initial velocity at x = 0. Determine (a) The velocity when x = 3 m, (b) the position when the velocity is again zero (c) the position when the velocity is maximum. Solution:  (Q.6)   A stone is dropped from the top of a tower. When it has fallen a distance of 10m, another stone is dropped from a point 38 m below the top of the tower. If both the stones reach the ground at the same time calculate (i) the height of the tower (ii) the velocity of the stones when ...
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Assignment No.3_Centroid_Questions and Answers_2023-24

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(Q.1) Find the centroid of the shaded area. (Q. 2)  Find centroid of the shaded area. (Q. 3) Find centroid of shaded area with reference to X and Y axes. (Q. 4) Determine the centroid of shaded area (Q.5) Determine the centroid of the shaded area. All dimension are in mm.
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Assignment No.2_Non Coplanar Force System_Questions and Answers_2023-24

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  (Q.1) A force 5 kN is acting along AB where A (0, 0, -1) m and B (5, -2, -4) m. Another force 8 kN is acting along BC where C (3, 3, 4) m. Find resultant of two forces and find moment of  resultant force about a point D (0, 3, -2). (Q.2) A force acts at the origin in a direction defined by the angles θ v = 65 o and θ z = 40 o Knowing that the x - component of the force is 750N, determine (i) the other components (ii) magnitude of the force (iii) the value of θ x . Solution:  (Q.3) Find the resultant of the spatial concurrent force system concurrent at A(1,0,0) and passing through points B (-1,3,5), C (3,5,7), D (0,4,0). Magnitudes of forces are, F AB = 100 N, F AC = 150 N, F AD = 200 N.   (Q.4) Force 5 KN is acting along AB where A(0, 0, -1) m & B(5, -2, -4) m. Another force 8 KN is              acting along BC where C...
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Assignment No.8_Kinetics of particles_Questions and Answers_2023-24

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  (Q.1)    Find Force P required to accelerate the block as shown in figure at 2.5 m/s 2 . Take μ = 0.3. ----------------------------------------------------------------------------------------------------------------------------- ----------------------------------------------------------------------------------------------------------------------------- (Q.2)    A 30 N block is released from rest. It slides down a rough incline having µ= 0.25. Determine    the maximum compression of the spring. ----------------------------------------------------------------------------------------------------------------------------- ----------------------------------------------------------------------------------------------------------------------------- (Q.3) A man of mass 70 kg and a boy of mass 30 kg dive off the end of a boat, of mass 150 kg, with a horizontal velocity of 2 m/s relative to the boat. If initially the boat is at rest, fi...
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