500 mn 500 mm 150 mm

Q: onsider a pulley system shown below. The coordinate x is the displacement of G. Assume there is no…

A: In the given problem, a single chord connects block and pulley, thus their displacements are…

Q: Q/ A uniformrigid bar of maSs m is pivoted at one end and connected symmetrically by twe springs and…

A: Draw the free-body diagram of the rod.

Q: An automatic washing machine has a mass of 65 kg. In order to avoid excessive vibration, the washing…

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Q: A 25 kg mass is resting on a spring of 4900 N/m and dashpot of 147 N-se/m in parallel. If a velocity…

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Q: A rod 50 mm in diameter is held between self-aligning bearings 1.2 m apart and deflects under its…

A: Given: The diameter of the shaft, d = 50 mm The distance between bearings, L = 1.2 m The critical…

Q: The weightless rod carries two masses m, one at a distance L from the pivot o the other at 2L. If…

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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: The system is in equilibrium in the position. Find the period of vibration for small amplitudes.…

A: Given data: k=75 N/mm=1.8 kg Need to determine the period of vibration for small amplitudes.

Q: A coil of spring stiffness 4 N/mm supports vertically a mass of 20 kg at the free end. The motion is…

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Q: Obtain the equation of motion of the mass m connected as in the figure. Examine the movement that…

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Q: The restroom door is equipped with a torsional spring and a torsional viscous damper so that it…

A: Note: Dear Student! As per our guidelines, we are only allowed to answer first three sub-parts of a…

Q: b) determine the equation of motion and natural frequency of the system by assuming that the…

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Q: The door shown in the figure is equipped with a torsional spring of stiffness 25 Nm/rad and a…

A: a.Consider I as the moment of inertia and Zeta as the damping ratio. The damping coefficient is,

Q: A single-cylinder compressor with a mass of 150 kg is mounted on rubber wedges.Compressor rubber…

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

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Q: Determine the equivalent spring stiffness of the system using the displacement of the block as the…

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Q: Problem 6: An object of mass 2 kg is attached to a spring of stiffness 200 N/m on a horizontal…

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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: A spring is stretched to in. by a 4-1D weight. Let the weight be pulled down bin. below equilibrium…

A: To find: The equation of position of spring. Given: The initial Stretch in the spring is x0=6 in1…

Q: The system shown consists of a mass m and a massless rod of length l. The system is supported by two…

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Q: Note: A spring of stiffness 20 kN/m supports a mass of 4 kg. The mass is pulled down 8 mm and…

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Q: 2. The stiffness of a close coiled helical spring is such that it deflects 36 mm when an axial load…

A: It is given that the spring deflection is δ =36 mm for 10 N applied load. Also the mass of spring…

Q: The disk shown in (Figure 1) has a weight of 10 lb and rolls without slipping on the horizontal…

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Q: 4. A mass-spring system exhibits a period of 5 s and a measured mass of 20 kg. Calculate the spring…

A: Period of the spring-mass system, T= 5sMass, m = 20kgWe have to find out the spring stiffness which…

Q: Q2. A railroad bumper (which it is used to stop the railroad car) is designed as a spring in…

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Q: 3. A helical spring with a mass of 6kg has a mass of 10kg attached to its free end. The : released.…

A: ms=6 kgm=10 kgx=40 mmk=532 N/m Find the frequency of oscillation.

Q: The flexible footbridge shown spans shark infested waters. Humans are expected to walk across the…

A: Given data: harmonic force Fo = 250 N harmonic force frequency f= 2 Hz spring stiffness ka = 1000…

Q: 4. A student followed strictly correct procedure in the lab during the experiment of moment of…

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Q: B. 150 N/m 750 mm 750 mm- 150 N/m 1000 mm 20 sin 5t N C5 kg

A: Given ,  morning = 5 kg  f(t) = 20sin(5t)  k= 150 N/m and b = 35 N-s/m

Q: A mass-spring system oscillates on a frictionless horizontal surface in narmonic motion with an…

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Q: A cigarettes dispenser requires a south African five-rand (R5) coin with a mass of 9.5 g to dispense…

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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.