. Consider the spring-mass system whose motion is governed by d'y dt2 + wy = Fo cos ot, y(0) = 0, dy (0) = 0. dt Determine the solution if the system is resonating.

Q: Q4: A damping harmonic oscillator with, m-5 kg, k=180 N/m and c=30 kg/s is subject to a driving…

A: We know  the angular frequency of the system. ω0=km Here, m is the mass of the oscillator and k is…

Q: When an unknown weight W was sus- pended from a spring with an unknown force constant k it reached…

A: Given : Load attached to spring = W Stretches by x = 25 cm Further pulled by 50 cm and oscillates.

Q: A forced oscillation is driven by a force F(t) = 0.4cos0.200rt where F is in Nand t in s. The…

A: The problem can be solved as follows

Q: A mass-spring system oscillates on a frictionless horizontal surface in simple harmonic motion with…

A:

Q: A 50.0 g bob was hanging on a 1.0 meter cord and was executing simple harmonic motion or SHM. The…

A:

Q: Suppose that k = 190 N/m 1.Determine the unstretched length of DB to hold the 40-kg crate in the…

A: Consider the free-body diagram of the given system as follows.

Q: A 2.00 [kg] frictionless block is attached to an ideal spring of force constant 300. [N/m]. At t = 0…

A: The problem is based upon spring mass system. Using the concepts related to spring mass system the…

Q: . The total energy (y) against time (x) for a mass- spring system performing simple harmonic motion.

A: we have given graph between Total energy vs Time graph  Total energy on y axis  Time on x axis

Q: A pendulum has length 206 cm and damping constant k= 0.7. The bob is released from rest at a…

A: Given:-  Pendulum has length L =206 cm =2.06 m  k=0.7 θ=0.5 t=5 sec g= 9.8 m/s2 Find:-  The…

Q: Note: displacement of the mass at any time t is given by x(t) = (A + Bt)e-10t The spring is…

A: Approach to this question  is simple, we need to find value of A and Bfor that we have two…

Q: Compute the response of a spring mass system. A force of magnitude 25N, driving frequency of twice…

A: Given:  Force=25NMass of system=15kgspring stiffness=1000NmConsider the mass of Spring is msp=1kg…

Q: What is the length of a pendulum that has a period of 0.500 s?

A: Given that :Period of pendulum, T= 0.500 secFor simple pendulum-T=2πLg   equation 01where, T is the…

Q: A mass m at the end of a spring vibrates with a frequency of 0.90 Hz. When an additional 520-g mass…

A: (a) The frequency of the spring vibrates at the end of mass is, f1=12πkmf12=k4π2m0.902=k4π2m…

Q: It is made of a smooth material and a beam of constant cross-section with two springs at ends A and…

A:

Q: A body oscillates with simple harmonic motion ac- cording to the equation x = (6.0 m) cos (3Ħ…

A:

Q: Resonance oscillation

A:

Q: If the timing of the Simple Harmonic motion (t=0) starts at the equilibrium position which set of…

A:

Q: M A pendulum of length L = 0.50m and mass 2.0Kg has a spring of force constant k =620 N/m connected…

A:

Q: A pendulum oscillating on the moon has the same period as a(n) 2.82 m pendulum oscil- lating on…

A:

Q: Consider an underdamped spring-and-mass harmonic oscillator with a = 10 s¹ and y = 1 s-¹. Find the…

A:

Q: Position of a mass-spring system is given as: x = 4.8 (cm) cos[6.4 (rad/s)t]. What is the…

A: x = 4.8 cm cos[6.4(rad/s)t] comparing with standard harmonic equation of spring mass system x = A…

Q: A simple harmonic oscillator is constructed by attaching a block of mass to a horizontal spring on a…

A:

Q: During a relaxed walking pace, a person's leg can be thought of as a physical pendulum of length L…

A: During a walk, a person lifts up his/her leg and propels it forward so that he/she can walk. The…

Q: 4-7. Suppose that f(x)=1.5x² for –l-0.5) (b) P(0.5<X) (d) P(X<-2) (f) x such that P(x< X)=0.05.

A: Answer (d) :-

Q: Problem 2 Consider the elastic pendulum shown in the figure below.The pendulum con- si sts of a bob…

A: Hello. Since your question has multiple sub-parts, we will solve the first three sub-parts for you.…

Q: A spring-mass system with m = 50kg and k = 4000N/m shown in Figure Q3(a). If the mass is released…

A: Given  Mass m = 50 kg Spring constant k = 4000 N/m It is mentioned that block undergoes simple…

Q: 12-d4 Verify that energy is conserved in sim- ple harmonic motion.

A:

Q: Where did they get wo from

A:

Q: 2.A mass of 0.34 kg is attached to a spring and set into oscillation on a horizontal frictionless…

A:

Q: An object in simple harmonic motion obey the following position versus time equation , y(t) = 0.50…

A:

Q: A simple harmonic oscillator is hung from the ceiling of an elavtor. How is the frequency affected…

A: This is a very easy question which can be answered without even touching your pen. Now here rule is…

Q: A novelty clock has a 0.0145 kg-mass object bouncing on a spring that has a force constant of 1.25…

A:

Q: An object in Jimpie harmonic motion obey the fo Mowing POJition versuJ time eguation, yct) = 0.50…

A: Given , y(t)= 0.50 sin(t) y is in meter  t is in second

Q: A thin 6-m string of mass 50.0 g is fixed at both ends and under a tension of 89 N. If it is set…

A:

Q: 1) A 300-g mass is hung from acoiled spring and it stretches 20 cm.it is then streched an additional…

A: The free body diagram of the spring with mass attached is given below. By the Hook's law, F=-kl…

Q: A simple pendulum is made of a 2 m-string and a bob of mass m. At t = 0, the pendulum is at its…

A:

Q: A mass n = 1.2 kg is attached to a spring with negligible mass and stiffness k =4N/m lying on a…

A: The spring constant, k=4.0 N/m   The initial mass was 1.2 kg and it loses 0.4 kg mass. So, the…

Q: A mass, spring and a damper system is subjected to an external harmonic excitation of 200cos22t (N).…

A: Given, Ft=200cos22tk=4000 N/mm=10 kgc=40 N.s/mx0=0.1 mv0=0 m/s