Find the length of a simple pendulum that makes 120 complete oscillations in 60.0 s in a place where g=10.5 m/s2.

Q: calculate the period of simple pendulum in the following lengths: a) 3.0m b) 6.0m c) 9.0m d)…

A: lengths (L ) are given as,  3.0m, 6.0m, 9.0m, 12.0m as the value of g ( acceleration of gravity ) =…

Q: Consider a place where the gravity is one-fourth the gravity on Earth (g' = g/4), then the frequency…

A:

Q: Consider a place where the gravity is 4 times the gravity on Earth (g' = 4g), then the frequency of…

A: Simple pendulum: A simple pendulum is a body that is suspended from rigid support so that it can…

Q: What is the period of oscillation (in seconds) of a rod of length 2.7m that is fixed at one end, but…

A:

Q: Find and find the oscillation time of an oscillator with a harmonic of amplitude 0.4m passing…

A: Amplitude is A = 0.4 m Initial velocity is v = 0.6 m/s when it passes through the origin. This is…

Q: Find the period and frequency of a simple pendulum 1.000 m long on the surface of Earth where g =…

A: Given data: Length of simple pendulum is, L=1.000 m. Gravitational acceleration is, g=9.8 m/s2.

Q: Consider a place where the gravity is one-ninth the gravity on Earth (g' = g/9), then the frequency…

A: Data Given ,  Gravity on a place ( g' ) = g/9 Where , g = gravity on the earth  Frequency on earth =…

Q: What is the oscillatory period (T) of an extended horizontal spring with a spring force constant of…

A: According to Hooke's law, the force needed to extend or compress a spring is directly proportional…

Q: Consider a place where the gravity is 4 times the gravity on Earth (g' = 4g), then %3D the frequency…

A: Given data: g'=4g Need to determine the frequency of the pendulum on the place.

Q: For a simple harmonic oscillator, when (if ever) are thedisplacement and velocity vectors in the…

A: Given: A simple harmonic oscillator is given.

Q: Find the frequency (in Hz) of an A4 tuning fork that takes 0.002272 s to complete one oscillation.

A:

Q: Consider a pendulum, of length I and a bob of mass mat its end, moving through a lubricated oil with…

A: Given : Fr=-2mgllθ˙              length of pendulum is l.              mass of bob is m.…

Q: You are examining a system with a spring that is attached to a weight that is being allowed to…

A: solution is given by

Q: The frequency of oscillations of a simple pendulum is given by:

A: Please see the attached image for solution

Q: What is the equation of motion of a pendulum whose length is 20 cm and starts with zero initial…

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Q: What is the period of oscillation (in seconds) of a rod of length 4.91m that is fixed at one end,…

A: We use simple harmonic oscillation concept here to find out time period of oscillation

Q: What is the maximum speed of a mass attached to spring whose frequency is 3Hz and oscillating in a…

A: Given: The medium is frictionless. Frequency of the spring= 3 Hz The mass undergoes an oscillatory…

Q: Consider a place where the gravity is one-ninth the gravity on Earth (g' g/9 then the frequency of…

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Q: Consider a place where the gravity is 4 times the g the frequency of oscillation of a simple…

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Q: A simple pendulum of length 2.3 m makes 5.0 complete swingsin 37 s. What is the acceleration of…

A: In this case, the time period of the simple pendulum would be equal to the time taken by the simple…

Q: with x=Asinωt write down an expression for the

A: Given:- A simple harmonic oscillator is given as  x=Asinωt Find:-  write down an expression for the…

Q: The acceleration of gravity can be found from the length l and period T of a pendulum; the formula…

A: The expression for g  is g=4π2lT2 Taking log on both sides, lng=ln4πr2+lnl-2lnTdgg=dll-2dTT

Q: A mass on a spring oscillates 43.0 times in 13.2 s. What is the frequency of the oscillation? For…

A: Given--- A mass on a spring oscillates 43.0 times in 13.2 s. We have to find--- What is the…

Q: Consider a place where the gravity is %3D 4 times the gravity on Earth (g' = 4g), then the frequency…

A:

Q: If a mass falls 1.00 m in a time of 0.451 s, what are (a) the acceleration of gravity and (b) the…

A: distance, h = 1 m  time, t = 0.451 s  length, L=0.5 m

Q: Find the frequency of oscillation of mass m suspended by two springs having constants k_1 and k_2,…

A: when springs are in parallel then frequency, ω =k1+k2m      given that k2 = 2k1…

Q: What will be the period of oscillation (in seconds) of a mass-spring system whose spring has an…

A: Formula T = 2 π sqrt ( m / k ) m is mass. m = 3852.8 g = 3.8528 kg k is spring constant. , k = 110.4…

Q: Find the frequency of a tuning fork that takes 2.50×10−3 s to complete one oscillation.

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Q: k1 Con si der the sy stem shown in the diagram, which consi st s of two springs with constants k and…

A: If a mass m is attached to a spring with spring constant k and is displaced from the equilibrium…

Q: What is the period for a simple pendulum of length 2m when loaded with a 3kg mass? When loaded with…

A: Given,

Q: Two pendulums of lengths 1.44m and 1m start oscillating together. After how many oscillations will…

A: Given,          Two pendulums of lengths 1.44m and 1m start oscillating together.

Q: A simple pendulum on the surface of Earth is found to undergo 16.016.0 complete small‑amplitude…

A:

Q: A billiard ball hanging from a string acts as a pendulum whose effective length is 4.50 meters. A…

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Q: What type of force F(x) will produce simple harmonic oscillation?

A:

Q: A glider attached to one end of a string oscillates given by the displacement function x(t)…

A: Displacement function is given by  xt = 0.030cos4.00t We know that velocity = dxdt =…

Q: Find the time period of simple pendulum which has the height equal to the radius of the Earth.

A: Step 1It is given that the length of pendulum, l is equal to the radius of the Earth

Q: Find the frequency of a tuning fork that takes 2.50X10-3 s to complete one oscillation.

A: Time period, T = 2.5 x 10-3 s

Q: Find the frequency of oscillation of mass m suspended by two springs having constants k_1 and k_2,…

A:

Q: Show that the potential energy of a simple pendulum can be described as:

A: The figure below shows a pendulum at an inclined angle θ. Length of pendulum is l and the height…

Q: Consider a place where the gravity is 4 times the gravity on Earth (g' = 4g), then the frequency of…

A:

Q: What is the length of a simple pendulum whose full swing from left to right and then back again…

A:

Q: A glider attached to one end of a string oscillates given by the displacement function *(t)…

A: Given data :             Displacement function,    x(t) = 0.030 cos(4t) Velocity…

Q: Consider a place where the gravity is 4 times the gravity on Earth (g' 4g), then the frequency of…

A:

Q: Consider a place where the gravity is 4 times the gravity on Earth (g' = 4g), then the frequency of…

A:

Simple harmonic motion

Simple harmonic motion is a type of periodic motion in which an object undergoes oscillatory motion. The restoring force exerted by the object exhibiting SHM is proportional to the displacement from the equilibrium position. The force is directed towards the mean position. We see many examples of SHM around us, common ones are the motion of a pendulum, spring and vibration of strings in musical instruments, and so on.

Simple Pendulum

A simple pendulum comprises a heavy mass (called bob) attached to one end of the weightless and flexible string.

Oscillation

In Physics, oscillation means a repetitive motion that happens in a variation with respect to time. There is usually a central value, where the object would be at rest. Additionally, there are two or more positions between which the repetitive motion takes place. In mathematics, oscillations can also be described as vibrations. The most common examples of oscillation that is seen in daily lives include the alternating current (AC) or the motion of a moving pendulum.