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ESE ME: Engineering Mechanics Champion Quiz 5

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Question 1

During inelastic collision of two particles, which one of the following is conserved?

Question 2

A point mass M is released from rest and slides down a spherical bowl (of radius R) from a height H as shown in the figure below. The surface of the bowl is smooth (no friction). The velocity of the mass at the bottom of the bowl is

Question 3

A block of mass m rests on an inclined plane and is attached by a string to the wall as shown in the figure. The coefficient of static friction between the plane and the block is 0.25. The string can withstand a maximum force of 20 N. The maximum value of the mass (m) for which the string will not break and the block will be in static equilibrium is ____________ kg.
Take cosθ = 0.8 and sinθ = 0.6.
Acceleration due to gravity g = 10 m/s²

Question 4

A ladder AB of length 5 m and weight (W) 600 N is resting against a wall. Assuming frictionless contact at the floor B and the wall (A), the magnitude of the force P (in newton) required to maintain the equilibrium of the ladder is __________.

Question 5

The static deflection of a spring under gravity, when a mass of 1 kg is suspended from it, is 1 mm. Assume the acceleration due to gravity g =10 m/s². The natural frequency of this spring-mass system (in rad/s) is_____

Question 6

A circular disk of radius R rolls without slipping at a velocity v. The magnitude of the velocity at point (see figure) is:

Question 7

Figure shows a wheel rotating about O₂. Two points A and B located along the radius of wheel have speeds of 80 m/s and 140m/s respectively. The distance between the points A and B is 300 mm. The diameter of the wheel (in mm) is ________

Question 8

What is the force in member 1 for the structure shown in the figure below?

Question 9

What is the tatio of ihe forces in the members AB, BE and AE of the pin-jointed truss shown in the figure given below ?

Question 10

For the plane truss shown in the figure, the number of zero force members for the given loading is
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ESE & GATE ME Engineering Mechanics

Mar 31ESE & GATE ME