Calculate the length of string needed for a simple pendulum if the period is 2.0 s and the mass is 2.0 kg.

Q: A simple pendulum is swinging back and forth through a small angle, its motion repeating every 1.29…

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Q: A pendulum passes x = 0 with a speed of 0.533 m/s; it swings out to A = 0.209 m. What is the period…

A: Since you have posted multiple questions, we will provide the solution only to the first question as…

Q: A 52.9 cm-long pendulum takes 2.00 minutes to undergo 83.0 complete back-and-forth cycles.…

A: in this question  we determine answer by simple time period equation of pendulum due to gravity.

Q: If the period of a simple pendulum is to be 5.99 s, what should be its length?

A: The time taken by a freely suspended object from one end(Pendulum) to cover a to and fro motion is…

Q: In this experiment, you have a spring of spring constant 62N/m. When a small mass is oscillating on…

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Q: A simple pendulum has a period of 3.5 s and an amplitude of 5.0 cm. The mass of the bob is 5 g.…

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Q: A simple pendulum is swinging back and forth through a small angle, its motion repeating every 1.38…

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Q: A mass hanging on a spring with spring constant 15 N/m has a period of 3 π s. (Note that π =…

A: Given data The spring constant is k = 15 N/m. The time period is given as T = 3 π s.   The…

Q: A simple pendulum consists of a 50 g weight on the end of a string.  The angle between the cord and…

A: The mass attached to the pendulum is 50 g.  Let m=50 g=50×10-3 kg The angular displacement of this…

Q: A simple pendulum has a period of 4.1 s and an amplitude of 5.0 cm. The mass of the bob is 5 g.…

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Q: What is the length, in meters, of a simple pendulum if it has a period of 2.52 s? Assume that the…

A: Time period of oscillation produced in simple pendulum is T=2.52 s Acceleration due to gravity is…

Q: Compute the pendulum's period (in s).  ______________________s   (b) Determine the acceleration due…

A: Given   Length of pendulum ,L = 52.1cm Time to complete 104.6 cycles = 2.50 minutes

Q: A simple pendulum makes 98 complete oscillations in 3.10 min at a location where g = 9.80 m/s². (a)…

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Q: A mass hanging on a spring with spring constant 15 N/m has a period of 4 π s. (Note that π =…

A: Spring constant (k)=15 N/m Time period (T)=4π s

Q: Consider a pendulum whose length is 50 ft. What is the formula for the period of oscillation for a…

A: Please put L instead of l for length in case of time period

Q: A simple pendulum has a period of 2.7 s and an amplitude of 5.0 cm. The mass of the bob is 5 g.…

A: Given data: Period (T) = 2.7 s Amplitude (A) = 5 cm Mass of the bob (m) = 5 g Need to determine the…

Q: A pendulum is formed by placing a horizontal axis at various positions of a measuring stick of…

A: Length of the measuring stick L = 108 cm = 1.08 mGiven that the axis is placed at 81 cm (0.81 m)…

Q: What is the length, in meters, of a simple pendulum if it has a period of 4.92 s? Assume that the…

A: T(time period)= 4.92 s, g(acceleration due to gravity)= 13.05 m/s² The time period of a pendulum is…

Q: A simple pendulum makes 136 complete oscillations in 2.80 min at a location where g = 9.80 m/s². (a)…

A: It is given that the pendulum makes 136 complete oscillations in 2.80 min. So, time taken to make…

Q: A simple pendulum is 1.2 m long.What is the period of motion for this pendulum if it is in truck…

A: Length of pendulum ( L ) = 1.2 m Acceleration of truck ( a ) = 2.41 m/s2

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…

Q: A simple pendulum has a length of 52.6 cm and makes 81.8 complete oscillations in 2.00 min. (a) Find…

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Q: A grandfather clock is designed so that one swing of the pendulum in either direction takes 1.00 s.…

A: Time period, T = 1 s

Q: A scientist wishes to determine the acceleration of gravity on the surface of the planet Nos'Kere by…

A: Given: l=3.2 mT=2.3 s

Q: A mass 3,476g is attached to an ideal spring. Once set in motion the mass-spring system is a…

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Q: A 0.500-kg mass is suspended from a string, forming a pendulum. The period of this pendulum is 3.16…

A: Given,  Mass of pendulum = 0.5 kg Period of pendulum =3.16sec Amplitude =1cm We need to calculate,…

Q: If the mass is 48kg and the spring constant is 12n/m,what is the period of oscillation?

A: Frequency of oscillations is proportional to spring constant and inversely to mass. We are given the…

Q: The acceleration due to gravity on Planet X is 0.360 times the acceleration on Earth. What length…

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Q: The period of 3-kg pendulum is 1.98s. if the acceleration due to gravity is 9.8m/s2, what will be…

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Q: A simple pendulum has a length of 52.0 cm and makes 82.0 complete oscillations in 2.00 min. (a) What…

A: (a)

Q: If the period of a simple pendulum is to be 4.55 s, what should be its length ?

A: Time period of simple pendulum, T = 4.55 s

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.