A body of mass M attac 8uuds e o ocillates with a period of 4 second. If the mass is increased by 2 kg, the period increases by 1 second. Find the initial mass, assuming that Hooke's law is obeyed.

Q: 5. A spherical ball of radius 0.00265 m and mass 5 x 10-4 kg is attached to a spring of force…

A: Given, The radius of the ball, r=0.00265m Mass, m=5×10-4kg Spring constant, k=0.05 N/m Resolving…

Q: A 1.00-kg glider attached to a spring with a force constant 16.0 N/m oscillates on a frictionless,…

A: a). The time period of a spring-mass system is given by, T = 2πmk Here, m is the mass of the object…

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Q: The position of an oscillating object (m = 100 g) in m is described by x = 3.50 cos πt, where t is…

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Q: A mass of 420 g is attached to a vertical spring, causing the spring to stretch a distance d. When…

A: Given:mass of the object, m = 0.420 kgdisplacement caused in spring when m is attached is dWhen mass…

Q: 1 A-kg mass is attached to a spring with stiffness 40 N/m. The damping constant for the system is 4…

A: Given Mass (m)                      = 1/5 kg Stifness (k)                   = 40 N/m Damping…

Q: Suppose you attach an object with mass m to a the end of a vertically hanging spring originally at…

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Q: An oscillator consists of a block attached to a spring (k= 400 N/m). At some time t, the position…

A: Given: An oscillator consists of block attached to a string,here k=400N/mx=0.14mv=-13.6m/sa=-129m/s2…

Q: A force of 12 N is required to stretch a spring 4 m. A mass of 1 kg is attached to the spring and…

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Q: A 1.00-kg glider attached to a spring with a force constant 16.0 N/m oscillates on a frictionless,…

A: Given, Mass of the glider, m=1.00 kg Spring constant, k=16.0 N/m. At t = 0, the glider is released…

Q: An oscillator consists of a block attached to a spring (k= 400 N/m). At some timet, the position…

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Q: 4. Prove that x = Ae¯2m' cO s(@t + q) is the solution of a damped oscillation equation m d²x +b + kx…

A: Given equation of damped oscillation, md2xdt2+bdxdt+kx=0 We know, for damped oscillation,…

Q: A weight is oscillating at the end of a spring. The postion of the weight relative to the point of…

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Q: A -kg mass is attached to a spring with stiffness 4 N/m. The damping constant for the system is 2…

A: The damping force is proportional to the velocity of the oscillator. And given the damping constant…

Q: In an experiment, you attach a 500 g object to a spring of negligible mass and start oscillating it.…

A: Given data: Mass of object is, m=500 g=0.5 kg. Time period of oscillation is, T=4 s.

Q: Show how to find the expression for the period of oscillation of a damping-free spring mass system.…

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Q: Two mass-spring systems are oscillating with the same total energy, but system A's am- plitude is…

A: Given. Two spring mass system are oscillating with same total energy. The amplitude of system a is…

Q: A 1.00-kg glider attached to a spring with a force constant 9.0 N/m oscillates on a frictionless,…

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Q: A 0.5-kg mass suspended from a spring oscillates with a period of 1.00 s. How much mass must be…

A: The initial mass suspended from the spring is: m1 = 0.5 kgThe initial time period for oscillation…

Q: n oscillator consists of a block attached to a spring (k= 400 N/m). At some time t, the osition…

A: Given  Position x=0.15m Velocity v=-13.6m/s Acceleration a=-123m/s2 Spring constant k=400N/m

Q: A body of weight 27 N hangs on a long spring of such stiffness that an extra force of 9 N. Stretches…

A: given,weight =27NF=9Nx=0.05mk=Fx=90.05=180W=mg=27Nm=27N9.8m/s2=2.76kg

Q: Problem 3 Show that a one-dimensional particle subject to the force F -ka2n+1, where n is an…

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Q: In order to study the long-term effects of weightlessness, astronauts in space must be weighed (or…

A: Given data: The mass of chair is m=35.6 kg. The period of oscillation (chair) is t=1.30 s. The…

Q: 2cos4t. Find the period of (a) The position of a mass in a spring-mass system is given as x(f)…

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Q: A harmonic oscillator is made of an ideal spring with an unknown spring constant. Attached to the…

A: Given data: Mass (m) = 500 g = 0.500 kg Period (T) = 0.250 s Required: The force constant of the…

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A: We need to compute the time required by particle to cover a distance of 3 cm from its mean…

Q: A vertical spring stretches 3.6 cm when a 16-g object is hung from it. The object is replaced with a…

A: Given data The extension in the spring is xs = 3.6 cm = 0.036 m The mass of the spring is mo = 16 g…

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Q: A boy of mass 49.8 kg standing on the end of a diving board depresses it vertically downward a…

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Q: Physics A 3.0 kg mass hangs in equilibrium from a spring. When the mass is displaced by 0.09 m and…

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Q: A 1.00-kg glider attached to a spring with force constant 49.0 N/m oscillates on a frictionless,…

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Q: Consider an ideal mass-spring system that is hung vertically in a lift. When the lift is stationary,…

A: Let mass = m spring constant = k Time period when lift is stationary = T

Q: (2) Find the period of a physical pendulum consists of a uniform rod of length L and mass M.

A: