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If u=2xy, v=x2-y2 and x=rcos?, y=rsin? then find \[ \dfrac {\partial (u_1v)}{\partial (\partial_1 \theta)} \]
engineering mechanics updated 5.1 years ago by teamques10 ★ 70k
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Examine whether the vectors X1 = [3 1 1], X2 = [2 0 -1], X3 = [4 2 1] are linearly independent.
engineering mechanics updated 5.1 years ago by teamques10 ★ 70k
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A ball of mass 'm' hits directly to a similar ball of mass 'm' which is at rest. The velocity of first ball after impact is zero. Half of the initial kinetic energy is lost in impact
engineering mechanics updated 6.1 years ago by teamques10 ★ 70k
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The masses are interconnected with the pulley system neglecting inertial and frictional effect of pulleys and cord, determine the acceleration of the mass $m_2. $
engineering mechanics updated 6.1 years ago by teamques10 ★ 70k
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Find the angle the force p makes with horizontal such that the block of mass 4 kg has an acceleration of $10 m/sec^2,$ when it is subjected to a force of 35 N.
engineering mechanics updated 6.1 years ago by teamques10 ★ 70k
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Two balls with masses 20kg and 30 kg are moving towards each other with velocities 10m/s and 5m/s resp.
engineering mechanics updated 6.1 years ago by teamques10 ★ 70k
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A 2kg collar M is attached to a spring and slides without friction in a vertical plane along the curved rod ABC as shown in figure.
engineering mechanics updated 6.1 years ago by teamques10 ★ 70k
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Block A and B of mass 6kg and 12 kg resp. are connected by a string passing over a smooth pulley. Neglect mass of pulley
engineering mechanics updated 6.1 years ago by teamques10 ★ 70k
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A block of 800N is acted by a horizontal force P as shown in fig. If the coefficient of friction between the block and inclined are
engineering mechanics updated 6.1 years ago by teamques10 ★ 70k
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Two masses of 60 N & 30N are positioned over frictionless & massless pulley (fig.) If the 60 N. mass is released from rest,
engineering mechanics updated 6.1 years ago by teamques10 ★ 70k
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The platform P (fig.) has negligible mass and is tried down so that the 0.4 m long cords keep a 1 m long spring compressed to 0.6 m. When nothing is on the platform.
engineering mechanics updated 6.1 years ago by teamques10 ★ 70k
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Define the terms with neat sketches: Direct impact, oblique impact & line of impact.
engineering mechanics updated 6.1 years ago by teamques10 ★ 70k
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A 50 kg block kept on $15^\circ$ inclined plane is pushed down the plane with an initial velocity of 20 m/s.
engineering mechanics updated 6.1 years ago by teamques10 ★ 70k
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Explain work energy principle.
engineering mechanics updated 6.1 years ago by teamques10 ★ 70k
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A spring of stiffness k is placed horizontally and a ball of mass m strikes the spring with a velocity v. Find the maximum compression of the spring. Take m = 5 kg, k = 500 N/m, v = 3m/s
engineering mechanics updated 6.1 years ago by teamques10 ★ 70k
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A ball of mass m kg hits an inclined smooth surface with a velocity $V_A=3 m/s.$ Find out velocity of rebound
engineering mechanics updated 6.1 years ago by teamques10 ★ 70k
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A body of mass 2 kg is projected upwards from the surface of the ground at t = 0 with velocity20 m/s.
engineering mechanics updated 6.1 years ago by teamques10 ★ 70k
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A 30N block is released from rest. It slides down a rough incline having coeff of friction 0.25. Determine the max compression of spring
engineering mechanics updated 6.1 years ago by teamques10 ★ 70k
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A motorist travelling at a speed of 90 kmph suddenly applies the brakes & comes to rest after skidding 100m
engineering mechanics updated 6.1 years ago by teamques10 ★ 70k
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The 550 N box (fig.) rests on a horizontal plane for which the coefficient of kinetic friction $\mu_x=0.32$ .
engineering mechanics updated 6.1 years ago by teamques10 ★ 70k
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A collar of mass 1 kg is attached to a spring and slides without friction along a circular rod which lies in a horizontal plane. The spring is undeformed when the collar is at B.
engineering mechanics updated 6.1 years ago by teamques10 ★ 70k
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If a ball is thrown vertically down with a velocity of 10m/s from a height of 3m. Find the maximum height it can reach after hitting the floor, if the coefficient of restitution is 0.7
engineering mechanics updated 6.1 years ago by teamques10 ★ 70k
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Two blocks A and B connected as shown in the diagram. The string is inextensible. Mass of a and b are 3kg and 5kg respectively.
engineering mechanics updated 6.1 years ago by teamques10 ★ 70k
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A two-step pulley supports two weights A=40N & B=60N as shown. Find the downward acceleration of A if radius of bigger pulley is double that of the smaller one.
engineering mechanics updated 6.1 years ago by teamques10 ★ 70k
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A body of mass 25 kg resting on a horizontal table is connected by string passing over a smooth pulley at the edge of the table to another body of mass 3.75 kg & hanging vertically as shown.
engineering mechanics updated 6.1 years ago by teamques10 ★ 70k
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