The lunar excursion module has been modeled as a mass supported by four symmetrically located legs, each of which can be approximated as a spring-damper system with negligible mass. Design the springs and dampers of system to have the damped period of vibration between 5 s and 6 s.

Q: The homogeneous disk, of mass-6Kg and radius R-1 m, rolls without slipping over the surface. The…

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Q: A 1.5 kg mass is attached to a vertically oriented spring, stretching it 0.45 m. The mass is moved…

A: Solution: After adding a mass of 1.5kg the spring is stretched to a equilibrium position that is…

Q: A particle of mass 20g executes an SHM of amplitude 2.0cm. if the period of oscllation is 0.20s,…

A: Given data,

Q: The homogeneous rod OA is supported at point 0, and a mass of 2m is attached at the bottom of the…

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Q: 3. The stiffness of a helical spring is such that it stretches 1 mm per every 1.5N of load. Find the…

A: Given: 1.5 N per 1 mm Mass, m = 6.5 kg To find: Number of vibrations it will make per minute

Q: A large industrial cooling system of mass 160 kg is supported by six springs arranged in parallel.…

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Q: A 1.5 kg mass is attached to a vertically oriented spring, stretching it 0.45 m. The mass is moved…

A: Solution: When mass of 1.5kg is added to the spring, the spring elongates by 0.45m, this is known as…

Q: The below figure shows a uniform circular disc compound pendulum of mass m and radius a which is…

A: Given Data: The mass of the disc is m. The radius of the disc is a The moment of inertia of the…

Q: 14. For the system shown to the right, the disk of mass m rolls without slip and z mcasures the…

A: Let the radius of disc be 'r'.displacement of spring 3k, x'=2rθdisplacement of spring k=displacement…

Q: 6. Derive the equation of motion for x2 as function of Fa. The indicated damping is viscous.

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Q: If both springs are usntretched when the mass is in the central position shown, determine the static…

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Q: With the assumption of no slipping, determine the mass m of the block which must be placed on the…

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Free undamped vibrations

Whenever an object/system displaces in either side of its equilibrium position with the help of an external/internal means, then the object/system moves regularly or randomly on both sides of its equilibrium position. This motion is called vibration. Generally, there are three types of vibration: longitudinal vibration, transverse vibration, and torsional vibration.