By using Differential Equation method solve the question ... Example 3.11If a mass-spring system with an iron ball of weight W=98 net tonnage can be regarded asundamped free vibration and the spring is such that the ball streches it 1.09m (=Al). Howmany cycle per minute will the system execute? What will its motion be if we pull the balldown from rest by the 0.16m and let it start with zero initial velocity?(Hints: w=mg, g = 9.8, k ="/, angular frequency for the oscillation of a spring, @ =V815-t -0.438 sin5V815Ans: x(t) = 0.2cos5

Detailed solution of this question is given in below steps.

If a mass-spring system with an iron ball of weight W=98 net tonnage can be regarded as undamped free vibration and the spring is such that the ball streches it 1.09m (=A(). How many cycle per minute will the system execute? What will its motion be if we pull the ball down from rest by the 0.16m and let it start with zero initial velocity? (Hints: w=mg, g 9.8, k ="/1, angular frequency for the oscillation of a spring, w = JE)

If a mass-spring system with an iron ball of weight W=98 net tonnage can be regarded as undamped free vibration and the spring is such that the ball streches it 1.09m (=A(). How many cycle per minute will the system execute? What will its motion be if we pull the ball down from rest by the 0.16m and let it start with zero initial velocity? (Hints: w=mg, g 9.8, k ="/1, angular frequency for the oscillation of a spring, w = JE)

Classical Dynamics of Particles and Systems

5th Edition

ISBN:9780534408961

Author:Stephen T. Thornton, Jerry B. Marion

Publisher:Stephen T. Thornton, Jerry B. Marion

Chapter3: Oscillations

Section: Chapter Questions

Problem 3.11P

See similar textbooks

Similar questions

Since the speed is not 0 when the block is pushed away from the spring, how can we know if the block stops in the section CD, or if it passes this section and go in the ramp and then back again in direction to the spring? could the block go back and forward a few times before a complete stop somewhere in the CD section?
A spring- masssystem is executingSHM when a 2.0 kgobject is attached toits end. The springconstant is 250.N/m. When theobject is 0.015meter fromequilibrium position, it is moving witha speed of 0.45 m/s.a) Find theamplitude in meterb) Find themaximum velocityof the object in m/s
Obtain the response of a linear oscillator to a step function and to an impulse function (in the limit τ → 0) for overdamping. Sketch the response functions.
Check Your Understanding Identify one way you could decrease the maximum velocity of a simple harmonic oscillator.
6.Write the equntion of motion for a simple pendulum of length 98 cm, which is critically damped by a force that is linear in velocit
If a 1.60 kg book is played on top of a spring, what is the maximum distance of compression? K= 860N/m
A 600 lb block slides down an incline having a slope of 3 vertical to 4 horizontal. It starts from rest and after moving 4 feet, strikes a spring whose modulus is 100 lb per ft. If the coefficient of kinetic friction is 0.20, find the maximum velocity of the block. PLEASE SOLVE USING THE FORMAT SOLUTION BELOW.
The equation of motion for a damped harmonic oscillator is s(t) = Ae^(−kt) sin(ωt + δ),where A, k, ω, δ are constants. (This represents, for example, the position of springrelative to its rest position if it is restricted from freely oscillating as it normally would).(a) Find the velocity of the oscillator at any time t.(b) At what time(s) is the oscillator stopped?
How can I approach this mass on a spring problem?
1. ••• Two blocks, each of mass m, are connected on a frictionlesshorizontal table by a spring of force constant k and equilibriumlength L. Find the maximum and minimum separation betweenthe two blocks in terms of their maximum speed, Vmax, relativeto the table. (The two blocks always move in opposite directionsas they oscillate back and forth about a fixed position.) Draw and Explain.
please use the x= Acos(wt+phi) in solving thanks A 5.00 kg partridge is suspended from a pear tree by anideal spring of negligible mass. When the partridge is pulled down0.100 m below its equilibrium position and released, it vibrates with aperiod of 4.20 s. (c) When it is moving upward, how much timeis required for it to move from a point 0.050 m below its equilibriumposition to a point 0.050 m above it? ans= 0.7 seconds just need solution
Hi, can you please help me with this assignment A pendulum of length L. A ball that practically carries all the weightpendulum, has a velocity of velocity v1 at the moment when the cord makes an angle \phi_1 with the vertical direction.a) Derive the relation for the velocity of the ball at the lowest point of its trajectory (\phi = 0deg).What is the smallest possible value of velocity v1 for the pendulum tob) reach a position in which the massless cord is in horizontal position \phi=90deg,c) pass the highest point above the pivot so that the cord does not kink (\phi = 180deg+)? Thank You