if i consider a ideal spring with spring constant K which supports a mass M，how does...
if i consider a ideal spring with spring constant K which supports a mass M，how does the resonant frequency change if i increase the amplitude A of this oscillation？
Homework Answers
The resonant frequency of a system like this is given by
The resonant frequency varies directly with the square root of the spring constant, and inversely with the square root of the mass.
It does not depend on Amplitude, so increasing the amplitude of will not change the resonant frequency.
Add Answer to:
if i consider a ideal spring with spring constant K which
supports a mass M，how does...
A mass m = 3 kg is attached to a spring with spring constant k =...
A mass m = 3 kg is attached to a spring with spring constant k = 3 N/m and oscillates with simple harmonic motion along the x-axis with an amplitude A = 0.10 m. (a) What is the angular frequency of this oscillation? (b) What is the period T and the frequency f of the oscillation? (c) If the phase constant = 0, write down expressions for the displacement, velocity and acceleration of the mass as a function...
13. A damped mass-spring system with mass m, spring constant k, and damping constant b is...
13. A damped mass-spring system with mass m, spring constant k, and damping constant b is driven by an external force with frequency w and amplitude Fo. 2662 where, wo is the (a) Show that the maximum oscillation amplitude occurs when w = natural frequency of the system. where, wd is the (b) Show that the maximum oscillation amplitude at that frequency is A = frequency of the undriven, damped system.
A damped vibrating system consists of a spring of stiffness k = 3,600 N/m and a...
A damped vibrating system consists of a spring of stiffness k = 3,600 N/m and a mass of 5 kg. It is damped so that each amplitude is 99% of the previous one (i.e. after a full cycle). (a) Find the frequency of oscillation. (b) Find the damping constant. (c) Find the amplitude of the force of resonant frequency necessary to to keep the system vibrating at 25mm amplitude. (d) What is the rate of increase in amplitude if, at...
An object of mass m attached to a spring with constant k oscillates with amplitude A....
An object of mass m attached to a spring with constant k oscillates with amplitude A. Assuming air resistance and the mass of the spring to be negligible, which of the following changes alone would cause the period of this oscillation to increase? I. Increasing m II. Increasing A III. Using a spring with greater k (A) I only Submit B ) Il only © 1or u only Il or Ill only E ) I, II or III 1. Norm
The figure shows the position-time graph of an object of mass m oscillating on the end of a massless ideal spring of spring constant k
The figure shows the position-time graph of an object of mass m oscillating on the end of a massless ideal spring of
spring constant k. Answer the following questions.1. Which of the following graphs is the correct
velocity-time graph of the oscillation?2. Which of the following graphs is the correct
acceleration-time graph of the oscillation?3. If the mass of the object is m = 0.500 kg, what is
the spring constant k of the ideal spring?Hint: read o the period of...
A spring with spring constant k is suspended from the ceiling. A block of mass M...
A spring with spring constant k is suspended from the ceiling. A block of mass M hangs from the spring. A bullet of mass m is fired vertically upward into the bottom of the block, get embedded in it, and the spring's maximum compression d is measured. The block and bullet system then oscillates. Find an expression for the bullet's speed vB in terms of m, M, k and d. Find the frequency ? of the oscillation. Find the...
A block of mass M is attached to a wall by a massless spring with spring constant k. The block is allowed to oscillate on a frictionless surface.
A block of mass M is attached to a wall by a massless spring with spring constant k. The block is allowed to oscillate on a frictionless surface. A second block of mass m is placed on top of the first block. The coefficient of static friction between the two blocks is his. What is the angular frequency of oscillation, and what is the maximum possible amplitude of oscillation such that the second block will not fly off?
A spring, of negligible mass and which obeys Hooke's Law, supports a mass M on an...
A spring, of negligible mass and which obeys Hooke's Law,
supports a mass M on an incline which has negligible friction. The
figure below shows the system with mass M in its equilibrium
position. The spring is attached to a fixed support at P. The
spring in its relaxed state is also illustrated. Mass M has a value
of 255 g. Calculate k, the spring constant. The mass oscillates
when given a small displacement from its equilibrium position along
the...
a) A block with mass m is attached to a horizontal spring with spring constant k....
a) A block with mass m is attached to a horizontal spring with spring constant k. The block is at rest on a frictionless surface. A bullet with mass Mbul is fired horizontally with speed vbul into the block, in the face opposite the spring, and sticks to the block. mün m Wbul Are you able to determine the bullet's speed by measuring the oscillation frequency of the system of block and bullet? If so, how If not, why not?
-A 1.800kg mass is attached to a spring with a spring constant K= 227.1 n/m. the...
-A 1.800kg mass is attached to a spring with a spring constant K= 227.1 n/m. the block is released from rest with the spring stretched by 13.20cm. a) The frequency of the resulting oscillation is? b) The max speed of the block is?
13. A damped mass-spring system with mass m, spring constant k, and damping constant b is driven by an external force with frequency w and amplitude Fo. 2662 where, wo is the (a) Show that the maximum oscillation amplitude occurs when w = natural frequency of the system. where, wd is the (b) Show that the maximum oscillation amplitude at that frequency is A = frequency of the undriven, damped system.
A damped vibrating system consists of a spring of stiffness k = 3,600 N/m and a mass of 5 kg. It is damped so that each amplitude is 99% of the previous one (i.e. after a full cycle). (a) Find the frequency of oscillation. (b) Find the damping constant. (c) Find the amplitude of the force of resonant frequency necessary to to keep the system vibrating at 25mm amplitude. (d) What is the rate of increase in amplitude if, at...
An object of mass m attached to a spring with constant k oscillates with amplitude A. Assuming air resistance and the mass of the spring to be negligible, which of the following changes alone would cause the period of this oscillation to increase? I. Increasing m II. Increasing A III. Using a spring with greater k (A) I only Submit B ) Il only © 1or u only Il or Ill only E ) I, II or III 1. Norm
The figure shows the position-time graph of an object of mass m oscillating on the end of a massless ideal spring of
spring constant k. Answer the following questions.1. Which of the following graphs is the correct
velocity-time graph of the oscillation?2. Which of the following graphs is the correct
acceleration-time graph of the oscillation?3. If the mass of the object is m = 0.500 kg, what is
the spring constant k of the ideal spring?Hint: read o the period of...
A spring, of negligible mass and which obeys Hooke's Law,
supports a mass M on an incline which has negligible friction. The
figure below shows the system with mass M in its equilibrium
position. The spring is attached to a fixed support at P. The
spring in its relaxed state is also illustrated. Mass M has a value
of 255 g. Calculate k, the spring constant. The mass oscillates
when given a small displacement from its equilibrium position along
the...
a) A block with mass m is attached to a horizontal spring with spring constant k. The block is at rest on a frictionless surface. A bullet with mass Mbul is fired horizontally with speed vbul into the block, in the face opposite the spring, and sticks to the block. mün m Wbul Are you able to determine the bullet's speed by measuring the oscillation frequency of the system of block and bullet? If so, how If not, why not?
Most questions answered within 3 hours.
-
At auction, 8-month T-bills were sold at a discount of 7.410%.
What was the simple annual...
asked 1 minute ago -
during translcation initiation, which protein helps TFIID stay
attatched to the DNA?
asked 15 seconds from now -
Nitromethane (CH3NO2) burns in air to produce significant
amounts of heat.
2CH3NO2(l)+3/2O2(g)→2CO2(g)+3H2O(l)+N2(g)
ΔHorxn = -1418 kJ...
asked 18 minutes ago -
A projectile (mass = 0.20 kg) is fired at and embeds itself in a
stationary target...
asked 14 minutes ago -
Assume X is a Chi-square random variable with 18 degrees of
freedom.
Find the values of...
asked 53 minutes ago -
Using the knowledge of calculus derive and sketch the marginal
cost (MC) and average cost (AC)...
asked 34 minutes ago -
A fair coin is repeatedly flipped. The following sequence of
heads and tails comes up: HTTHTHHTHHHHH....
asked 37 minutes ago -
which of yhe follwing disease is caused by virus?
typoid
tetanus
diphtheria
polio
asked 45 minutes ago -
All of the following represent government spending as a part of
aggregate demand except for:
A....
asked 52 minutes ago -
TaskMaster Enterprises employs a standard cost system in which
direct materials inventory is carried at standard...
asked 53 minutes ago -
show, using natural deduction
p V q, p -> r, q -> r proves r
asked 50 minutes ago -
2. Sketch the piecewise function. ?(?) = { |? + 2|, ??? ? ≤ 0 √?...
asked 1 hour ago