What is the frequency (in Hertz) of a simple pendulum 1.7 m long in an elevator accelerating upwards at a rate of 9.6 m/s2?

Q: A geologist uses a simple pendulum that has a length of 29 cm and a frequency of 0.841 Hz at a…

A: The time period is given as T = 1/f T = 1/0.841 T = 1.189 s

Q: A particle of mass 2.0 kg is attached to a spring of spring constant 30 N/m. If the maximum…

A: Given data- mass of particle m=2.0 kg spring constant k=30 N/m maximum acceleration amax=5.8 m/s2

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

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Q: In Planet X, The frequency of a simple pendulum is 0.50 Hz. What is the length (m) of the cord if…

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Q: The period of a simple harmonic oscillator is 0.0275 s. What is its frequency ??

A: Given that----- time period = 0.0275 sec Question ❓ What is its frequency ?

Q: What is the frequency of a simple pendulum 2.0 m long (a) in a room, (b) in an elevator accelerating…

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Q: At a certain location, the period of a 2.5m long pendulum is 3.6 seconds. What is the acceleration…

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Q: What is the period (in s) of a 6.24 m-long pendulum?

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Q: An object of mass 100 gis attached to the spring and oscillates with a period of 1.12s when . what…

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Q: A 4 kg mass attached to a horizontal spring oscillates at a frequency of 3 Hz. At t =0 s, the mass…

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Q: A pendulum is constructed from a string 0.627 m long attachedto a mass of 0.250 kg. When set in…

A: Given data: The length of the string is L=0.627 m. The value of mass attached to the string is…

Q: The motion of a particle connected to a spring is described by x = 10 sin (πt). At what time (in s)…

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Q: A simple pendulum has a frequency of 4 HZ. It is time period will be? A. 0.5 B.0.25 C.1.5

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Q: A pendulum of length 15.3 cm swings back and forth at a location on earth where g = 9.98 m/s?. The…

A: Given data:  A simple pendulum  Length (L) = 15.3 cm = 0.153 m Acceleration due to gravity (g) =…

Q: An object attached to one end of a spring makes 20 vibrations in 10 s. What is its frequency? O 2 s…

A: Given data:  Number of vibrations = 20 Time (t) = 10 s Required: Frequency (f)

Q: What is the period of a 0.290 kg mass on a 1.17 m long string acting as a pendulum?

A: Given data: A pendulum  Mass (m) = 0.290 kg Length (L) = 1.17 m Required: The period (T)

Q: A horizontal spring-mass system consists of a spring and a weight attached to the end of it. The…

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Q: Do you think a compound pendulum in comparison to a simple pendulum would show better oscillatory…

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Q: An object attached to a vertical spring is displaced 5.00 cm from rest and then released. If the…

A: Given information:Compression of the spring (x) = 5.00 cm = 0.05 mNumber of oscillations (n) =…

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

A: Given data The elastic constant of the spring is k = 78.2 N/m The mass of the system is m = 486.9 g…

Q: A spring is attached to the ceiling and pulled 18 cm down from equilibrium and released. The…

A: Given: Spring stretched by (x) = 18 cm. Amplitude decreases by 10% in each second.

Q: A simple pendulum has a mass of 7.5 kg suspended on a massless string oscillating with a frequency…

A: The mass of the simple pendulum is m = 7.5 kg The frequency of oscillation of simple pendulum if f =…

Q: What's the gravitational acceleration on a planet where the period of a 2.05 mm long pendulum is…

A: The time period of the pendulum,

Q: What would be the period of the 0.171-m pendulum on the Moon, where the acceleration of gravity is…

A: Given data:  Length of pendulum (L) = 0.171 m Acceleration of gravity (g) = 1.62 m/s2 Required: The…

Q: A mass m at the end of a spring oscillates with a frequency of 0.95 Hz . When an additional 770 g…

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Q: A Colpitts oscillator has values of C1 = 0.9 μF, C2 = 30 μF, and L = 104 μH. What is the frequency…

A: In the Colpitts oscillator, the capacitors are in series. So, the equivalent capacitance will be:

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

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Q: What is the length of a pendulum that will swing back and forth with a frequency of 0.800 Hz? 0.388…

A: Time period of simple pendulum is directly proportional to square root of length of simple pendulum…

Q: What is the frequency of a simple pendulum 1.8 m long (a) in a room, (b) in an elevator accelerating…

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Q: A mass m at the end of a spring oscillates with a frequency of 0.78 Hz. When an additional 770 g…

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Q: An object is attached at the end of a spring. The amplitude of its motion is 0.3m, the period 10sec.…

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Q: A 0.4 kg block hangs from a spring with a spring constant of 17  N/m. At t=0s the block is 0.3  m…

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Q: A 1.4 kg mass attached to a horizontal spring oscillates at a frequency of 2.1 Hz. At t =0 s, the…

A: For a spring-mass system in horizontal direction:md2xdt2=-kx≡d2xdt2+ω2x=0, where…

Q: A spring stretches by .0174 when a 2.66 kg object is suspened from its end.  How much mass should be…

A: The spring constant can be calculated as F=kxk=Fx=mgx=2.66 kg9.8 m/s20.0174 m=1498.16 N/m

Q: A spring is attached to the ceiling and pulled 12 cm down from equilibrium and released. The…

A: Given data: Distance by which the spring is pulled = 12 cm Amplitude decreasing rate = 10 %…

Q: What is the acceleration due to gravity in a region where a simple pendulum having a length 75.000…

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Q: A spring is attached to the ceiling and pulled 10 cm down from equilibrium and released. The…

A: Since the spring is pulled down by 10 cm, it will oscillate with an amplitude of A=5 cm This…

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

A: x(t) = 0.030(4.00t)t=4.65 secondsTo find- Acceleration of glider

Q: What is the frequency of a simple pendulum 1.5 m long (a) in a room, (b) in an elevator accelerating…

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Q: Q/ The frequency of a second's pendulum is 0.25 Hz O 2 Hz O 1 Hz O 0.5 Hz

A: The frequency is defined as the number of oscillations per second.

Q: 9. A pendulum of length 3 m is pulled aside and released. Find the frequency of the pendulum on…

A: Given, Length of pendulum (L)= 3m  Acceleration due to gravity of earth(g)= 9.81m/s2

Q: A car's 28.0 kg front tire is suspended by a spring with spring constant k = 1.45 x 10° N/m. At what…

A: mass(m)=28 kg spring constant(k)=1.45 X 105 N/m first find time period T=2πmk put values T=2π28…

Q: A simple pendulum oscillates with a frequency of 6.1 Hz.  How long (in centimeters) is the pendulum?

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Q: A mass mm at the end of a spring oscillates with a frequency of 0.86 HzHz . When an additional 780…

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Q: Two simple pendulums of 60.5 cm and 50 cm respectively. A 60.5 cm pendulum vibrates with a frequency…

A: length of first pendulum = L1= 60.5 cm length of second pendulum = L2= 50 cm frequency = f1= 1 hertz…

Q: What is the acceleration due to gravity in a region where a simple pendulum having a length 75.000…

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Q: An object is attached at the end of a spring. The amplitude of its motion is 0.3m, the period 10sec.…

A: Given, Amplitude=0.3m Time period=10sec

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.