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GATE ME: Engineering Mechanics Champion Quiz 1

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Question 1

In a free body diagram, which information is correct?

Question 2

The strain energy due to bending in a two hinged arch is calculated from:

Question 3

In a statically determinate perfect plane truss, the number of joints (j) and the number of members (m) are related by

Question 4

For the truss shown in figure, find the magnitude of the force in member PR and the support reaction at R are respectively

Question 5

Which of the following relationships between the force F on a particle and the particles position x implies simple harmonic oscillation

Question 6

If a system is in equilibrium and the position of the system depends upon many independent variables, the principle of virtual work states that the partial derivatives of its total potential energy with respect to each of the independent variable must be

Question 7

A wheel of radius r rolls without slipping on a horizontal surface shown below. If the velocity of point P is 10 m/s in the horizontal direction, the magnitude of velocity of point Q (in m/s) is _________.

Question 8

A weight of 500 N is supported by two metallic ropes as shown in the figure. The values of tensions T1 and T2 are respectively

Question 9

Two identical trusses support a load of 100 N as shown in the figure. The length of each truss is 1.0 in: cross-sectional area is 200 〖mm〗^2; Young's modulus E = 200 GPa. The force in the truss AB (in N) is _________.

Question 10

Two identical trusses support a load of 100 N as shown in the figure. The length of each truss is 1.0 in: cross-sectional area is 200mm2; Young's modulus E = 200 GPa. The force in the truss AB (in N) is _________
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Feb 4ESE & GATE ME