(a) Explanation Given information: The force deflection equation for a nonlinear spring fixed at one end is F = 2.5 x 1 / 2 . The weight of the block ( W ) is 6 oz. Assume the acceleration due to gravity ( g ) is 32.2 ft/s 2 . Calculation: The equation for nonlinear spring fixed at one: F = 2.5 x 1 / 2 (1) Convert ounce into lb. W = 6 oz × 1 lb 16 oz = 0.375 lb Here, the force is cause by the weight of the block ( W ). F = W Calculate the deflection ( x 0 ) : Rewrite the equation (1), W = 2 (b) To determine The frequency ( f n ) of vibration of the block.

12th Edition

ISBN: 9781260663778

Author: BEER

Publisher: MCG

See similar textbooks

Videos

Question

Chapter 19.1, Problem 19.32P

(a)

To determine

The static deflection (x0) if a 6 oz block is suspended from the spring.

(b)

To determine

The frequency (fn) of vibration of the block.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 19.1, Problem 19.31P

Chapter 19.1, Problem 19.33P

Students have asked these similar questions

Q5. In the image shown below, the 3.6-kg collar is connected to a spring with unstretched length of 1.8 m, and spring constant k = 8 N/m. Determine the elastic potential energy of the collar. Negative sign must be included if the energy is negative. Please pay attention: the numbers may change since they are randomized. Your answer must include 1 place after the decimal point, and proper SI unit. Take g = 9.81 m/s². Your Answer: Answer 4 m units 3 m

A 0.23 kg block is pressed up against a spring on a frictionless incline of angle 0 = 20.0° to the horizontal. The spring is initially compressed by x = 0.30 m from its equilibrium position (first arrow shown). When released from rest, the block travels along the incline a total distance (d + x) = 1.30 m until coming to rest again (where d = 1.00 m). What is the spring constant k? {Consider gravitational and spring potential energies; conservation of energy 'system'} O 11.5 N/m O 22.3 N/m O 80.9 N/m O 13.7 N/m O 30.2 N/m 8 LE R T K command command option

A sheep with a mass (m) 50 kg is hung on an animal scale system which consist of a helical spring of negligible mass. The stiffness (k) of the spring is 60 kN/m. During the hanging operation, the spring and the sheep are displaced vertically by 20 mm below the equilibrium position. 1.1. Draw a free body diagram and proof that a total length (L) of the scale system 2mg can be expressed as: L = k + Lo, where as Lo is the unstretched length of the spring. 1.2. Calculate the frequency of natural vibration of the system. 1.3. Calculate the velocity and acceleration of the sheep when it is 10 mm below the rest position.

Chapter 19 Solutions

VECTOR MECH. FOR EGR: STATS & DYNAM (LL

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 - Prob. 19.6P 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 - Prob. 19.10P

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.

The static deflection ( x 0 ) if a 6 oz block is suspended from the spring.

Solution Summary: The author explains the force deflection equation for a nonlinear spring fixed at one end.

Videos

The static deflection (x0) if a 6 oz block is suspended from the spring.

The frequency (fn) of vibration of the block.

Want to see the full answer?

Chapter 19 Solutions