P = Pm sin @ft 64 lb k = 1 kip/ft

Q: Determine the oscillations of a system with two degrees is L = (x² + y²) - w²(x² + y²)

A:

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: An automobile manufacturer is testing the suspension system of their latest car model. They load the…

A:

Q: Two 40-g weights are attached at A and B to the rim of a 1.5-kg uniform disk of radius r = 100 mm.…

A: Consider the diagram shown below for the disc for a small angular displacement anticlockwise.

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

A:

Q: A vibrometer used to measure the amplitude of vibrations consists essentially of a box containing a…

A: For the steady-state motion of the system, the solution can be given as,

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

A:

Q: Two small weights w are attached at A and B to the rim of a uniform disk of radius r and weight W.…

A:

Q: A 2-kg block is suspended from a spring having a stiffness of 800 N/m. If the block is given an…

A:

Q: (a) Interpret the phenomena occurred that explained by the mechanical engineer. (b) If the flexible…

A: For solution refer below images.

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

A:

Q: m mg

A:

Q: A homogeneous wire of length 2l is bent as shown and allowed to oscillate about a frictionless pin…

A: Given data: The length of the wire is 2l. The period of oscillation when the angle β = 0 is ? = ?0 .…

Q: A 16.3 kg motor is bolted to a light horizontal beam which has a static deflection of 0.19 cm due to…

A: GIVEN DATA UNBALANCE MASS m=0.02 kg Eccentricity e=15.8cm SPEED N=900rpm We have to calculate…

Q: Problem 4.138 Replace the loading by an equivalent resultant force and couple moment acting at point…

A:

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

A:

Q: 3: A 126 lb weight stretches a spring 14 feet. The weight hangs vertically from the spring and a…

A: The weight of block is The stretch in spring is .The initial displacement is The initial velocity is…

Q: A 20 kg motor is bolted to a light horizontal beam which has a static deflection of 0.2 cm due to…

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: A 15-lb uniform cylinder can roll without sliding on an incline and is attached to a spring AB as…

A: Given data: Weight of the cylinder, W = 15 lb. Stiffness of the spring, k = 4.5 lb/in. = 54 lb/ft.…

Q: P3). A heavy block of m = 40.0 kg is connected to a spring. The natural frequency of the blockspring…

A: Answer = 0.4036 m

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: Two 12-lb uniform disks are attached to the 20-lb rod AB as shown. Knowing that the constant of the…

A: At point A, the system is in the maximum displacement position. So, the system will be at rest. The…

Q: work due to spring (N.m)  angular velocity in position (2) (rad/s)

A: For solution refer below images.

Q: A 20 kg motor is bolted to a light horizontal beam which has a static deflection of 0.2 cm due to…

A: Option d is correct.

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: An 800-g rod AB is bolted to a 1.2-kg disk. A spring of constant k = 12 N/m is attached to the…

A: Given Rod AB mass 800 g Mass of the disk = 1.2 kg Spring constant 12 N/m To find Time period of…

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

A: A system consists both potential energy U and kinetic energy K,  according to law of conservation of…

Q: The 100-lb platform A is attached to springs B and D, each of which has a constant k = 120 lb/ft.…

A: Given: Weight of platform A, wA=100 lb kB=kD=120 lb/ft the newly added weight is 80 lb. first case:…

Q: A 40 kg motor is bolted to a light horizontal beam which has a static deflection of 0.2 cm due to…

A: GIVEN DATA UNBALANCE MASS m=0.02kg eccentricity e=16cm SPEED N=2400rpm   WE HAVE TO CALCULATE…

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

A:

Q: A mass of flexible machine part, m, of 10 × 1 kg was observed to vibrate badly at frequency of 10…

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: Denoting by dst the static deflection of a beam under a given load W, show that the frequency (Hz)…

A: Answer: The correct answer is option (b).

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: The period of oscillation of the system shown in Fig. a is observed to be 0.5 s. After the spring of…

A:

Q: A mass of 17.4 N weight is suspended in a box vertically by two springs having a constant of 42.52…

A: according to the given information two spring with constant, which is given below…

Forced undamped vibrations

In mechanical engineering, vibration is expressed as the term that occurs due to an object's backward and forward movement about a point of equilibrium. Generally, there are three types of vibrations which are,