A B

Q: The period of vibration of the system shown is observed to be 0.6 s. After cylinder B has been…

A: Given T1 = 0.6 s T2 = 0.5 s MB = 3lb To find The weight of cylinder A The constant of the spring

Q: A 6-kg uniform cylinder can roll without sliding on a horizontal surface and is attached by a pin at…

A: Given Mass of the cylinder = 6 kg Mass of the bar = 4 kg Length of the bar = 12 mm = 0.012 m Spring…

Q: A 6-kg uniform cylinder can roll without sliding on a horizontal surface and is attached by a pin at…

A: GivenMass of the cylinder = 6 kgMass of the bar = 4 kgLength of the bar = 12 mm = 0.012 mSpring…

Q: A collar with mass m that slides on a frictionless horizontal rod is attached to a spring with…

A: The static deflection of the spring is The natural frequency of the system is The amplitude of the…

Q: The free-fixed rod ( length of 2 m, diameter of 0.5 mm, density of 300 kg/m') vibrates in lengthwise…

A:

Q: A close-coiled helical spring undergoes a static deflection of 30 mm when a mass of 2.5 kg is placed…

A:

Q: n electric motor with a mass of 260 kg and a rotating nbalance, is mounted near the end of a steel…

A:

Q: A body of mass of 50 kg is supported by an elastic structure of stiffness 10 kN/m. The motion of the…

A: The natural frequency of vibration can be calculated using the formula:ω=kmwhere k is the stiffness…

Q: 1. A 20-lb uniform cylinder can roll without sliding on an incline and is attached to a spring AB as…

A:

Q: In the system shown,m= 2 kg, k= 1000 N/m, theta= 30 degrees and the friction coefficient between the…

A: Draw the free body diagram.

Q: 2. A element was made of a material with the material parameters of a b MPa, os 600MPa, o-1-360MPa,…

A: Given:To find:

Q: A bungee jumper weighing 160 lb ties one end of an elastic rope with a length of 200 ft and…

A: Natural frequency formula ω =km weight  = 160 lb stiffness k = 10 lb/in

Q: The 6-kg uniform rod AC is attached to springs of constant k = 500 N/m at B and k = 620 N/m at C,…

A:

Q: A 7-kg block is suspended by three identical springs, each with k = 200 N/m. The bottom of the block…

A:

Q: A body of uniform cross-sectional area A ane density po and at equilibrium displaces a vol…

A:

Q: A spring which stretches by an amount e under a force mi'e is suspended from a support O and has a…

A:

Q: An 8-kg uniform disk of radius 200 mm is welded to a vertical shaft with a fixed end at B. The disk…

A: Given Data Mass of the uniform disk, M=8 kg Radius of the uniform disk, R=0.2m

Q: n in the Fig. 3, the CM of a cylinder SR is connected to the top of hoop of

A: The mass  if cylinder is .The radius of the cylinder is .The mass of the hoop is .The spring…

Q: (ii) A mass of 5 kg is attached to a spring and rests on a horizontal surface. The mass is then…

A: For spring mass system, Mass (m)= 5 kgTime period (T)= 1.2 secHorizontal displacement =10 mm=0.01 m…

Q: A 4-kg collar can slide on a frictionless horizontal rod and is attached to a spring with a constant…

A: Given data: The mass of the collar, m = 4 kg. The spring constant, k = 450 N/m. The periodic…

Q: A mass of flexible machine part, m, of 10 x 2 kg was observed to vibrate badly at frequency of 10…

A:

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.