(a) Explanation Given information: Figure-(1) Figure-(1) represents the arrangement of the system. The mass of the slender rod is 3 kg , the mass of the disk is 5 kg , and the damping coefficient of the dashpot is 9 N ⋅ s / m . Write the expression for the moment of the forces about point A. ( m d r 2 2 + m r L 2 3 ) θ ¨ + m r g L 2 sin θ + c r 2 θ ˙ = 0 ..... (I) Here, the mass of the disk is m d , the mass of the rod is m r , radius of the disk is r , the length of the disk is L , the angular acceleration is θ ¨ , the angular velocity is θ ˙ , and the angular displacement is θ . Calculation: Substitute 5 kg for m d , 1 0 0 mm for r , 3 kg for m r , 9 N ⋅ s / m for c , 4 0 0 mm for L , θ for sin θ , and 9.81 m / s 2 for g in Equation (I). ( 5 kg × ( 1 0 0 mm ) 2 2 + 3 kg × ( 4 0 0 mm ) 2 3 ) θ ¨ + 3 kg × 9 (b) To determine The damping factor c c c .

12th Edition

ISBN: 9781260265521

Author: BEER

Publisher: MCG

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, Problem 19.164RP

(a)

To determine

The differential equations of the of the motion for small oscillations.

(b)

To determine

The damping factor ccc .

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 19, Problem 19.163RP

Chapter 19, Problem 19.165RP

Students have asked these similar questions

Consider the feedback controlled blending system shown below, which is designed to keep theoutlet concentration constant despite potential variations in the stream 1 composition. The density of all streamsis 920 kg/m3. At the nominal steady state, the flow rates of streams 1 and 2 are 950 and 425 kg/min,respectively, the liquid level in the tank is 1.3 m, the incoming mass fractions are x1 = 0.27, x2 = 0.54. Noticethe overflow line, indicating that the liquid level remains constant (i.e. any change in total inlet flow ratetranslates immediately to the same change in the outlet flow rate). You may assume the stream 1 flowrate andthe stream 2 composition are both constant. Use minutes as the time unit throughout this problem. Identify any controlled variable(s) (CVs), manipulated variable(s) (MVs),and disturbance variable(s) (DVs) in this problem. For each, explain how you know that’show it is classified.CVs: ___________, MVs: _____________, DVs: ______________ b) Draw a block diagram…

A heat transfer experiment is conducted on two identical spheres which are initially at the same temperature. The spheres are cooled by placing them in a channel. The fluid velocity in the channel is non-uniform, having a profile as shown. Which sphere cools off more rapidly? Explain. V 1

My ID# 016948724 last 2 ID# 24 Last 3 ID# 724 Please help to find the correct answer for this problem using my ID# first write le line of action and then help me to find the forces {fx= , fy= mz= and for the last find the moment of inertial about the show x and y axes please show how to solve step by step

Chapter 19 Solutions

VECTOR MECH...,DYNAMICS(LOOSE)-W/ACCESS

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.