Questions Archive - Page 30 of 38

A cantilever beam of negligible weight is carrying a mass M at its free end, and is also resting on an elastic support of stiffness k1 as shown in the figure below. If k2 represents the bending stiffness of the beam, find the natural frequency (rad/s) of the system.

A cantilever beam of negligible weight is carrying a mass \(M\) at its free end, and is also resting on …

Kisan Kumar Asked on 19th October 2019 in Structures.

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A mass m attached to a light spring oscillates with a period of 2 sec. If the mass is increased by 2 kg, the period increases by 1 sec. Find the value of m.

A mass \(m\) attached to a light spring oscillates with a period of \(2\; sec.\) If the mass is increased …

Kisan Kumar Asked on 19th October 2019 in Structures.

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\(\frac{PL^{3}}{3EI}\) is the deflection under the load P of a cantilever beam (length L, modulus of elasticity E, moment of Inertia I). Find the strain energy due to bending.

\(\frac{PL^{3}}{3EI}\) is the deflection under the load P of a cantilever beam (length L, modulus of elasticity E, moment of …

Kisan Kumar Asked on 18th October 2019 in Structures.

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If a quantity \(Q \) is dependent on three other quantities \(q_{1},q_{2}\) and \(q_{3}\) related such that \(Q=K\times \left ( q_{1} \right )^{n_{1}}\times \left ( q_{2} \right )^{n_{2}}\times \left ( q_{3} \right )^{n_{3}}\). What is the overall error?

What is the overall error if a quantity \(Q \) is dependent on three other quantities \(q_{1},q_{2}\) and \(q_{3}\) related …

Kisan Kumar Asked on 18th October 2019 in Systems.

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Consider a steady two-dimensional zero pressure gradient laminar flow of air over a flat plate as shown below. Find the ratio of displacement thickness to momentum thickness of the boundary layer at a distance of 2m from the leading edge.

Consider a steady two-dimensional zero pressure gradient laminar flow of air over a flat plate as shown below. The free …

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Kisan Kumar Asked on 15th October 2019 in Aerodynamics.

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Find the shock angle and the total temperature at point P.

Consider an inviscid, adiabatic flow of air at free stream Mach number \(M_{\infty}=2\), across a compression corner \(\left ( \theta …

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Kisan Kumar Asked on 15th October 2019 in Aerodynamics.

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Consider flow over a thin aerofoil at Mach number,\(M_{\infty}=0.5\) at an angle of attack of \(\alpha\). Using the Prandtl-Glauert rule for compressibility correction find a formula for lift coefficient \(C_{L}\).

Consider flow over a thin aerofoil at Mach number, \(M_{\infty}=0.5\) at an angle of attack of \(\alpha\). Using the Prandtl-Glauert …

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Kisan Kumar Asked on 14th October 2019 in Flight mechanics.

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Consider the inviscid,adiabatic flow of air at free stream conditions \(M_{1}=2,P_{1}=1\;atm\) and \(T_{1}=288\;K\) around a sharp expansion corner \(\left ( \theta =20^{\circ} \right )\). Assume air to be calorically perfect with \(\gamma =1.4\). What is the Mach number \(M_{2}\), downstream of the expansion corner ?

Consider the inviscid,adiabatic flow of air at free stream conditions \(M_{1}=2,P_{1}=1\;atm\) and \(T_{1}=288\;K\) around a sharp expansion corner \(\left ( …

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Kisan Kumar Asked on 14th October 2019 in Aerodynamics.

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An elliptic orbit has its perigee at 400 km above the earth’s surface and apogee at 3400 km above the earth’s surface. For this orbit, what is the eccentricity and semi-major axis respectively.

An elliptic orbit has its perigee at 400 km above the earth’s surface and apogee at 3400 km above the …

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Kisan Kumar Asked on 14th October 2019 in Space dynamics.

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An aircraft in a steady level flight at forward speed of 50 m/s suddenly rolls by 180 and become inverted. If no other changes are made to the configuration or controls of the aircraft, what will be the nature of the subsequent flight path taken by the aircraft and its characteristic parameter?

An aircraft in a steady level flight at forward speed of \(50\; m/s\) suddenly rolls by \(180 ^{\circ}\) and become …

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Kisan Kumar Asked on 14th October 2019 in Flight mechanics.

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