Engineering Mechanics - Mechanical Engineering Questions and Answers

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The loss of kinetic energy during inelastic impact, is given by(where m₁ = Mass of the first body,m₂ = Mass of the second body, and u₁ and u₂ = Velocities of the first and second bodies respectively.)

$\frac { m_1m_2 } { 2(m_1 + m_2) } (u_1 - u_2)^2$

$\frac {2(m_1 + m_2)} { m_1m_2 } (u_1 - u_2)^2$

$\frac { m_1m_2 } { 2(m_1 + m_2) } (u_1^2 - u_2^2)$

$\frac {2(m_1 + m_2)} { m_1m_2 } (u_1^2 - u_2^2)$

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The centre of gravity of a hemisphere lies at a distance of 3r / 8 from its base measured along the vertical radius

Correct

Incorrect

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The above figure shows the three coplaner forces P, Q and R acting at a point O. If these forces are in equilibrium, then

$\frac { P } { sin\beta } = \frac { Q } { sin\alpha } = \frac { R } { sin\gamma}$

$\frac { P } { sin\alpha } = \frac { Q } { sin\beta } = \frac { R } { sin\gamma}$

$\frac { P } { sin\gamma} = \frac { Q } { sin\alpha } = \frac { R } { sin\beta}$

$\frac { P } { sin\alpha } = \frac { Q } { sin\gamma} = \frac { R } { sin\beta}$

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Moment of inertia of a rectangular section having width (b) and depth (d) about an axis passing through its C.G. and parallel to the depth (d), is

$\frac { db^3 } { 12 }$

$\frac { bd^3 } { 12 }$

$\frac { db^3 } { 36 }$

$\frac { bd^3 } { 36 }$