A horizontal spring mass system is to be constructed. A spring which has a spring constant of 3 kg/s2 will be used. The system should be designed so that when it is released and vibrating freely (there is no forcing) the amplitude of its vibrations will decay like ?−0.4t, and it should oscillate with a period of 4 seconds.
(Although the motion is oscillatory it is not strictly periodic because the amplitude decays exponentially. In this context "period" refers to the period of the sine and/or cosine functions that create the oscillations in the motion.)
Based on these constraints determine the mass of the object, ?(kg), to be used, and also determine the value of the friction coefficient, ? (kg/s).
?: kg
b: kg/s
A horizontal spring mass system is to be constructed. A spring which has a spring constant...
The mechanical energy of a mass-spring system is 0.484 J. If the force constant of the spring of 330 N/m and the mass is 0.3 kg, what is the amplitude of the oscillatory motion in cm? Enter a number with one digit behind the decimal point
5 & 6 please? Explain why the period for a mass/ideal spring system on a frictionless not depend on the amplitude of the motion? What is the difference between oscillatory motion and simple harmonic motion?
A spring with k = 245 N/m has a mass of m = 4.35 kg attached to it. An external force F whose maximum value is 825 N drives the spring mass system so that it oscillates without any resistive forces. If the amplitude of the oscillatory motion of the spring-mass system is 3.65 cm, find the frequency of the external force that drives this motion. Hz
A horizontal mass-spring system consists of a 2 kg mass moving on a frictionless surface attached to a spring. The other end of the spring is attached to a wall. The mass is pulled and released. The resultant simple harmonic motion has a period of 5 s and it is observed that the maximum velocity of the mass is 0.3 m/s. a) Calculate the spring constant of the spring. (b) Calculate the amplitude of the motion. Sometime later, when the...
LUumeu. wwe. 1. Mass-spring system [20] A 0.50 kg mass is connected to a 5.0 N/m spring. From the rest position (x = 0), it is set into motion with an initial speed of +2.0 m/s. (a) What is the amplitude of the subsequent oscillatory motion? [5] (b) How long will a complete oscillation take? [5] (c) What will be the position and the velocity of the mass at t=0.30 s? [10]
A horizontal spring of spring constant k = 125N/m is resting at its equilibrium length. One end of the spring is attached to a wall, and the other end is attached to a mass M = 200g. The whole system is immersed in a viscous fluid with linear drag coefficient b = 0.1 kg/s. The mass is pulled 10cm from its equilibrium position and released from rest. (a) (0.5 pt) What would be the oscillation period if the system were...
Question 6 (Second-order system - log decrement). A mass-spring-damper system has a mass of 100 kg. Its free response amplitude decays such that the amplitude of the 30th cycle is 20% of the amplitude of the 1st cycle. It takes 60 sec to complete 30 cycles. Estimate the damping constant c and the spring constant k.
Activity 2. Finding the spring constant of a spring: DYNAMIC METHOD A spring of length L is connected to a support. A small mass m is connected to the spring pulling on this mass, the spring is stretched down a distance A from its equilibrium position. When the mass is let go, it starts oscillating up and down. The position of the mass changes as shown in the graph below. a) What type of motion does the graph describe? b)...
10. + 0/1 points Previous Answers OSUniPhys1 15.6.WA.048. My Notes vion of the spring-mass system A spring with k = 220 N/m has a mass of m = 4.25 kg attached to it. An external force F whose maximum value is 825 N drives the spring mass system so that it oscillates without any resistive forces. If the amplitude of the Commuy is 3.85 cm, find the frequency of the external force that drives this motion. 11.25 What is the...
A 2.00-kg block lies at rest on a frictionless table. A spring, with a spring constant of 100 N/m, is attached to the wall and to the block. The second block of 0.50 kg is placed on top of the first one. The 2.00-kg block is gently pulled to a position x = + A and released from rest. There is a coefficient of friction of 0.45 between the two blocks. (a) Assuming that the top block does not slide,...