Explanation Given: Weight of motor is 400 lb . Unbalance mass of rotor is 3 -oz . Distance of unbalance mass from the axis of rotation is 6 in . Concept used: Write the expression for amplitude of vibration of motor. x m = r ( m / M ) ( ω f / ω n ) 2 1 − ( ω f / ω n ) 2 ..... (1) Here, x m is the amplitude of vibration of motor, r is the distance between mass center of rotor and its axis of rotation, m is the mass of rotor, M is the mass of motor, ω f is the forced frequency of rotor and ω n is the natural frequency of system. Write the expression for natural circular frequency of system. ω n = k M ...... (2) Here, k is the equivalent stiffness of spring. Rearrange equation (2) for k . k = M ω n 2 Write the expression for the force exerted on system. ( F t ) m = k x m ...... (3) Substitute r ( m / M ) ( ω f / ω n ) 2 1 − ( ω f / ω n ) 2 for x m and k M for ω n in above expression and simplify. ( F t ) m = r m ω f 2 ( 1 − ω f 2 M k ) ...... (4) Here, ( F t ) m is the force exerted on the system. Calculation: Substitute 6 in . for r , 3 -oz for m , 100 rpm for ω f 2 and 400 lb for M in equation (4) To determine (b) Amplitude of fluctuating force on foundation.

12th Edition

ISBN: 9781259977305

Author: BEER, Ferdinand P. (ferdinand Pierre), Johnston, E. Russell (elwood Russell), Cornwell, Phillip J., SELF, Brian P.

Publisher: Mcgraw-hill Education,

See similar textbooks

Concept explainers

Free Damped Vibrations

Free vibration is a type of vibration in which the external force is removed after giving the initial displacement to a body/system. In other words, in this type of vibration, force is applied at the initial displacement of the system, and after the init…

Question

Chapter 19.4, Problem 19.118P

To determine

(a)

Maximum allowable spring constant of the pad.

To determine

(b)

Amplitude of fluctuating force on foundation.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 19.4, Problem 19.117P

Chapter 19.4, Problem 19.119P

Students have asked these similar questions

Q3: An engine produce 750 kW power and uses gaseous C12H26 as a fuel at 25 C; 200% theoretical air is used and air enters at 500 K. The products of combustion leave at 800 K. The heat loss from the engine is 175 kW. Determine the fuel consumption for complete combustion.

Qu 5 Determine the carburizing time necessary to achieve a carbon concentration of 0.30 wt% at a position 4 mm into an iron carbon alloy that initially contains 0.10 wt% C. The surface concentration is to be maintained at 0.90 wt% C, and the treatment is to be conducted at 1100°C. Use the data for the diffusion of carbon into y-iron: Do = 2.3 x10-5 m2/s and Qd = 148,000 J/mol. Express your answer in hours to three significant figures. show all work step by step problems formula material science

(Read Question)

Chapter 19 Solutions

Vector Mechanics For Engineers

Ch. 19.1 - A particle moves in simple harmonic motion....Ch. 19.1 - A particle moves in simple harmonic motion....Ch. 19.1 - Prob. 19.3P Ch. 19.1 - Prob. 19.4P Ch. 19.1 - Prob. 19.5P Ch. 19.1 - A 20-lb block is initially held so that the...Ch. 19.1 - Prob. 19.7P Ch. 19.1 - A simple pendulum consisting of a bob attached to...Ch. 19.1 - Prob. 19.9P Ch. 19.1 - A 5-kg fragile glass vase is surrounded by packing...

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.

(a) Maximum allowable spring constant of the pad.

Solution Summary: The author explains the maximum allowable spring constant of the pad and the distance of unbalance mass from the axis of rotation.