The equation of motion of a particle in simple harmonic motion is given by x(t)= 0.3cos (wt) where x in meters and t in seconds . At x=0 the particle's velocity is v = -1.256 m/s . The period of oscillation t is equals?
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A: Solution:- Time period oscillation= 2π (M/K)0.5 Where, M = mass of block. K = spring constant.…
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A: NOTE : As per bartleby guidelines we can answer only first 3 sub-parts of a questions. For remaining…
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Q: A 9.3 kg mass is attached to a spring, k = 123.1 N/m, so it can oscillate horizontally without…
A: Write the given values with the suitable variables. m=9.3 kgk=123.1 N/mx0=7 cm=0.07 mv0=20 cm/s=0.2…
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Q: A simple pendulum of mass 2.3 kg and length 0.28 m on planet X, where the value of g is unknown,…
A: Given data: Mass (m) = 2.3 kg Length (L) = 0.28 m Period (T) = 1.3 s Required: The value of g on…
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A: The given values are, T=72 samax=9.81 m/s2
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A: Given y = 1.65 sin (0.470πt) We have to calculate (a) Find the amplitude.(b) Find the period.(c)…
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Q: A mass m is attached to a spring with a spring constant k and undergoes simple harmonic motion. A…
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Q: In the experiment, you will study an oscillator called a "torsion pendulum." In this case, the…
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Q: x (cm) 10.0 -10.0 5.0 10.0 15.0 t(s)
A: From the given graph; it can be found that: The maximum displacement is 10.0 cm The time needed…
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Q: The displacement of a swinging ball in simple harmonic motion is modeled by the equation…
A: Solution:-Given thatd=3sin(21t)t=14 s
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Q: A simple pendulum is swinging back & forth through a small angle, its motion repeating every 1.31 s.…
A: Solution:Given Data:T1 = initial time period of simple pendulum = 1.31 sΔT = increase in the time…
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- A mass 3,476g is attached to an ideal spring. Once set in motion the mass-spring system is a harmonic oscillator. This mass spring system has a total mechanical energy of 0.503.J. If the oscillation amplitude is 8.723cm, what is the period of oscillation (in s)?A 0.500-kg mass is suspended from a string, forming a pendulum. The period of this pendulum is 3.16 s when the amplitude is 1.00 cm. The mass of the pendulum is now reduced to 0.250 kg. What is the period of oscillation now, when the amplitude is 2.00 cm?We can model the motion of a bumblebee’s wing as simple harmonic motion. A bee beats its wings 250 times per second, and the wing tip moves at a maximum speed of 2.5 m/s. What is the amplitude of the wing tip’s motion?
- For a simple pendulum, the restoring "force" is the torque due to gravity, mgL. Here m is the mass of the pendulum, g is the acceleration due to gravity, and L is the length of the pendulum. The "inertia" is the rotational inertia, mL². What is the expected period T of a simple pendulum? OA. 2л√/mg/L OB. 2√✓/L/mg OC. 2n√L/g OD. 2n√g/L OE. none of theseA mass m = 1.9 kg is at the end of a horizontal spring on a frictionless horizontal surface. The mass is oscillating with an amplitude A = 4.5 cm and a frequency f = 1.05 Hz. Part (a) Write an equation for the spring constant k. Part (b) Calculate the spring constant k, in Newtons per meter. Part (c) Write an equation for the total mechanical energy, E, of the motion. Your expression should be in terms of the variables in the original problem statement. Part (d) Calculate the total mechanical energy E, in joules.Astronauts on a distant planet set up a simple pendulum of length 1.20 m. The pendulum executes simple harmonic motion and makes 100 complete oscillations in 280 s. What is the magnitude of the acceleration due to gravity on this planet?
- The balance wheel of a watch oscillates with angular amplitude 0.59?0.59π rad and period 0.18 s. Find (a) the maximum angular speed of the wheel, (b) the angular speed of the wheel at displacement 0.59?/20.59π/2 rad, and (c) the magnitude of the angular acceleration at displacement 0.59?/40.59π/4 rad.. A plucked rubber band oscillates at 57.4 Hz. How many times does it oscillate in 5.0 s? In Problem 7, what is the period of oscillation?A 0.75-kg mass oscillates according to the equation x(t)=0.85 cos(7.5t), where the position x(t) is measured in meters. What is the period, in seconds, of this mass? At what point during the cycle is the mass moving at its maximum speed?