A spring extends by 5 centimeters when loaded vertically with 2.5kg of weight. A new weight of 1.75kg was attached to it and was displaced 6cm from its new equilibrium position and was released from rest. Determine the frequency of vibration in rad per second?

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

A: If you need any further assistance contact me by raising the clarification request

Q: A spring with a stiffness of 300 N/m is connected to a 15 kg mass. A displacement of 60 cm to the…

A:

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 load weighing 2 kg is attached to a spring. If the damping force is 5.5, spring constant  is 4.2,…

A: Given data as per the question Mass =2kgDamping =5.5spring (k)=4.2Distance(A)=0.2in=0.00508 m

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: A steel bar of rectangular cross-section with 26 mm wide and 60 mm deep is freely supported at the…

A: Given: width of the section, w=26 mm or 0.026 m depth of the section, d=60 mm or 0.06 m mass, m=210…

Q: An electric motor with a mass of 20 kg is placed in the middle of a beam that is jointly connected…

A: Given: Mass of the rotor m=20kg Speed of the rotor ω=20rad/s Eccentricity e=0.020m Solution: Maximum…

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 3-kg block is suspended from a spring having a stiffness of k = 200 N/m. If the block is pushed 50…

A: To find:(a) Equation of motion.(b) Amplitude of motion.(c) Natural frequency of vibration.

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

A:

Q: k The 8.8 kg block is attached to a spring (k = 214 N/m) as shown. The small wheels serve to…

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

A: E – the material Young's modulus, I – the moment of inertia, ρ – the material density, A – the area…

Q: The intensity of vehicle vibration is described by body amplitude, speed, acceleration and jerk,…

A: Given, Amplitude of vibration , A = 15 mm. Maximum traveling speed , v =18 m/s. Mass of the vehicle…

Q: Determine a natural frequency of vibration as a function of k₁, k₂. g and W of a spring-mass system…

A:

Q: On loading it with goods weighing 520 kN on a truck, its spring gets compressed by 26 cm, The weight…

A:

Q: equilibrium position and released Assume a damping force numerically equals to 2v. Find the position…

A:

Q: The weight of an empty truck is 330 kN. On loading it with goods weighing 570 kN, its spring gets…

A: Natural frequency Natural frequency, also known as eigenfrequency, is the frequency at which a…

Q: 1. The uniform rod ABC weighs 5 lb, and is attached to wo springs as shown. If end C is given a…

A:

Q: The weight of an empty railway vehicle is 330 kN. On loading it with goods weighing 380 kN, its…

A: Given When a vehicle is unloaded, w1 =330 KN…

Q: otor that turns at 12,000 rpm is suspended from above by a single spring to isolate the building…

A: Given:N=12,000fn=f4

Q: A mass of flexible machine part, m, of of 10 Hz. The vibration was caused by the application of a…

A:

Q: A metal block, placed on a rough surface, is attached to a spring and is given an initial…

A:

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

A:

Q: (5) A mass less flexible beam is hinged at one end and carries a mass m at the other end as shown in…

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: The weight of an empty railway vehicle is 250 kN. On loading it with goods weighing 420 kN, its…

A:

Q: 2- Weight W = mg k|2 V p = jacking force For the structure given above, assume that the weight of…

A: to findvelocity at t=1 sec when(a) undamped system(b) c=500 KN.sec/m

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: it is desired to understand the time - temperature behavior of a hot copper sphere. the sphere has a…

A: it is desired to understand the time - temperature behavior of a hot copper sphere. the sphere has a…

Q: A mass of 0.10 kg is attached to a spring. It is pulled 200 mm to the right of its position when the…

A: Given: Mass→m=0.10 Kg Initial amplitude→X1=200 mm=0.2 m Shifting of the mass after each swing=30…

Q: For a 15 kg mass, a 300 N/m stiffness spring is used. An initial 60-centimeter displacement is…

A:

Q: A simplified vibration measuring instrument is used to measure the vertical acceleration of…

A: Given : ω=10 r/s m=1.2 kg k=104 N/m To find : a) max acceleration b) amplitude of duct

Q: 2. When a 7.5 KN force is hung at the end of these 3 springs which are equidistant to each other and…

A:

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

A:

Q: k A k 30 ст С 1 W 60 cm

A: given; weight =Wmass(m)=weight(W)gBC=60cm=0.6mAB=30cm=0.3m

Q: 2. A spring with spring constant 90N/m is attached to a 10kg mass with negligible friction.…

A: Given data k=90 N/mm=10 kg Here, k is the spring constant and m is the mass of the block.  Now we…

Q: The complete slide- back and forth motion of a single reciprocating compressor piston completes in a…

A:

Q: machine mounted on elastic supports, is free to vibrate vertically. The machine has a mass of 40 kg…

A: mass of machine, M=40kgunbalancing mass, m=2kgeccentricity, e=150mmResonance speed, Nn=621rpm…

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.