Question: A spring is stretched 175 mm by an 8-kg block. If the block is displaced 100 mm downward from its equilibrium position and given a

A spring is stretched 175 mm by an 8-kg block. If the block is displaced 100 mm downward from its equilibrium position and given a downward velocity of 1.50 m/s, determine the differential equation which describes the motion. Assume that positive displacement is downward. Also, determine the position of the block when t = 0.22 s.

Step by Step Solution

★★★★★

3.32 Rating (164 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

Hence The solution of the above diff... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Engineering Mechanics Statics Questions!

A spring is stretched 200 mm by a 15-kg block. If the block is displaced 100 mm downward from its equilibrium position and given a downward velocity of 0.75 m/s, determine the equation which...

A spring is stretched 24.0 in. by a force of 54.0 lb. (a) How far will it stretch if a force of 104 lb is applied? (b) What weight will stretch the spring 9.00 in.?

A spring is stretched 0.5 meters by a force of 4 newtons. An object whose mass is 2 kg is attached to this spring, and the system is placed in a medium where the object is subjected to a damping...

Part B A spring is stretched 1 7 5 mm by an 8 - kg block. The block is displaced 1 0 0 mm downward from its equilibrium position and given a downward velocity of \ ( 1 . 5 0 \ mathrm { ~m } / \...

A spring is stretched 2 0 0 mm by a 1 5 - kg block. If the block is displaced 1 0 0 mm downward from its equilibrium position and given a downward velocity of 0 . 7 5 ms , determine the equation...

A spring is stretched 1 7 5 mm by a 1 0 kg block. If the block is displaced 1 0 0 mm downward from its equilibrium position and given a downward velocity of 1 . 5 0 m / s , determine the differential...

A spring is stretched 1 9 0 mm by a 1 3 kg block. Part A If the block is displaced 8 0 mm downward from its equilibrium position and given a downward velocity of 0 . 8 0 ( m ) / ( s ) , determine the...

D Cengage Learning X VA A#7-Waves - PHY354, section AB x * Dashboard X C & https://www.webassign.net/web/Student/Assignment-Responses/last?dep=31551927 . .. b For this assignment, you submit answers...

LABORATORY: OSCILLATIONS AND WAVES Objectives: 0 to investigate the relationship between the mass attached at the end of a spring, the spring constant, and the resulting stretching of the spring. 0...

1. [-/10 Points] DETAILS SERPSE10 5.1.P.002. MY NOTES ASK YOUR TEACHER One or more external forces, large enough to be easily measured, are exerted on each object enclosed in a dashed box shown in...

The owner of a private food store is concerned about employee morale. She decides to survey the employees to see if she can learn about work environment and job satisfaction. Obtain a simple random...

Why is absorption costing more popular than marginal costing?

Work out the missing values in the tables for these function machines. a i b D ii .x 8 10 y 4 61 2 Write each function in part a as an equation. x +9 2 y x -5 - y 22 29

You are using exponential smoothing on an annual time series concerning total revenues (in $millions). You decide to use a smoothing coefficient of W = 0.20, and the exponentially smoothed value for...

Replace the force system acting on the beam by an equivalent resultant force and couple moment at point A. A B 30 in. 30 250 lb 12 in. to 16 in. 3 in. -10 in.- 14 in. 45 260 lb 13 12 5 300 lb

Replace the force and couple moment system acting on the beam by an equivalent resultant force and couple moment at point O. 0.2 m -1.5m 30 500 N -2m 15 -1.5 m- 200 N 200 N-m X

Replace the forces acting on the gear by an equivalent resultant force and couple moment acting at point O. 2.25 kN 175 mm 41 60 3 kN 20 175 mm w X

5 pts Question 1 Onshore Manufacturing Co. makes investments in new machinery of $200,000 at the beginning of this year, $100,000 at the beginning of next year and $50,000 at the beginning of the...

Question 27 8 pts 27) Boda Bike Builder, Inc. retains 60% of its earnings for reinvestment. Boda' return on equity is 15%. Based on this information, what should be Boda's growth rate? 12pt Paragraph...

Because commodity futures are a zero-sum game, as many speculators make Money as lose money. O True O False To reduce commissions on commodity futures, invest in long-term contracts. O True O False...