A small fly of mass 0.25 g is caught in a spider's web. The web vibrates predominately with a frequency of 4.6 Hz .What is the value of the effective spring stiffness constant k for the web?At what frequency would you expect the web to vibrate if an insect of mass 0.50 g were trapped?
Into the equation for shm, a = (-)ω²x .. .. sub a =
F/m
F/m = ω² x
F/x = k = ω² m .. .. sub ω = 2πf ..
k = (2πf)² m = (2π 4.60)² *0.25^-3(kg) .. .. ►k = 0.53 N/m
(b) k = (2πf)² m .. (see above)
0.23 = 4π² f² *0.48^-3(kg)
f² = 0.23 / (4π² *0.50^-3) = 12.10 .. .. f = √12.10 .. .. ►f = 2.60
Hz
A small fly of mass 0.25 g is caught in a spider's web. The web vibrates...
Chapter 11 Problem 11.06 1 of 4 A small fly of mass 0.25 g is caught in a spider's web. The web oscillates predominantly with a frequency of 4.3 Hz . Part A What is the value of the effective spring stiffness constant k for the web? Express your answer to two significant figures and include the appropriate units. Value k Units Request Answer Submit Part B At what franuency would uou exnect the wah to I Chapter 11 Problem...
Suppose a 13 mg fly lands in the center of a horizontal spider's web, causing the web to sag by 4.0 mm . 1. Assuming that the web acts like a spring, what is the spring constant of the web? 2. Modeling the motion of the fly on the web as a mass on a spring, at what frequency will the web vibrate when the fly hits it? 3. If the web were vertical rather than horizontal, how would the...
A spring vibrates with of frequency of 3 Hz when a mass of 1 kg is hung from it. Find the spring costant K. If a 3 kg mass were added to the 1kg mass, what would be the resulting frequency?
A 12 mg fly lands in the center of a spider’s horizontal web, causing it to sag by 3 mm. What is the value of the force causing the web to sag? Assuming the web acts like a spring, what is the spring constant k of the web? Assume the fly in the web acts like a mass on a spring. When the fly hits the web, at what period will the web oscillate?
A mass m at the end of a spring vibrates with a frequency of 0.86 Hz . When an additional 660 g mass is added to m, the frequency is 0.65 Hz . What is the value of m? Express your answer using two significant figures.
A string vibrates at its third-harmonic frequency Review Part A A string vibrates at its third-harmonic frequency. The amplitude at a point 42 cm from one end is half the maximum amplitude How long is the string? Express your answer to two significant figures and include the appropriate units. Value Units Review Part A A metal wire under tension To vibrates at its fundamental frequency For what tension will the third-harmonic frequency be the same as the fundamental frequency at...
7. A spring with a 100 g mass hanging from it is set into simple harmonic motion. If the stiffness coefficient of the spring (k) is 16 N/m, then what is the period (T) and frequency (f) of this mass?
Problem 10. (20 pts) The displacement of a block of mass 0.2 kg on a spring is given by x(t) = (0.25 m) cos((2/s)t + π/5) A) What are the angular frequency (in rad/s), frequency (in Hz), and period of this motion? B) Find the spring stiffness of the spring. C) Find the x-component of the velocity of the block as a function of time. D) Find the total energy of the block/spring system E) Find the maximum speed of...
A mass block of mass m1 is attached to the rigid and weightless bar ABC whose other end is pin-connected to the wall The bar is supported by a spring of spring constant of k3 at its midpoint B. AB BC-a-1m. Another block of mass m2 is connected to the first block by a spring of spring constant k1 and is connected to the fixed ground by a spring of spring constant k2. The size of both blocks are ignored....
Block and Spring in SHM with damping A block of mass 8.50 g on the end of spring undergoes simple harmonic motion with a frequency of 9.00 Hz. What is the spring constant of the spring? If the motion of the mass has an initial amplitude of 6.00 cm what is its maximum speed?. The amplitude decreases to 1.335 cm in 1.78 s, what is the damping constant for the system?