What is the period for a simple pendulum of length 2m when loaded with a 3kg mass? When loaded with a 6kg mass? use f=1/2π √(k/m)

Q: What is the effect on the period of a pendulum if you decrease its length by 7.15%? (Answer this…

A: Write the given values of this problem. Decreases length by=7.15%Let period=TBeginning…

Q: A simple pendulum of length L has a period T. A simple pendulum of length L/2 (subject to the same…

A: Given data The initial length of a simple pendulum is given as L. The initial time period is given…

Q: The period of a simple pendulum is measured to be T on Earth. If the same pendulum were set in…

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Q: An ideal pendulum with length L has some mass M on the end. It has a period of T. If the length and…

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Q: A student measured a pendulum period and string length to be 179.1 +0.3 cm and 2.7 +0.2 sec,…

A: Please see the answer below

Q: What period would you expect from a pendulum of length 0.5 m on the moon where g= 1.6 m/s2? will the…

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Q: We measure the period of oscillation of a simple pendulum. In successive measurements, the readings…

A: The mean value of the measurement of time period is,

Q: If the period of a simple pendulum is to be 2.0 s, what should be its length?

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Q: The length of a simple pendulum oscillating with a period T is quadrupled, what is the new period of…

A: Length of simple  pendulum =L Time period = T Then   T=2π Lglength is quadrapled,L'=4Lthen time…

Q: What period would you expect from a pendulum of length 0.5 m on the moon where 9= 1.6 m/s²?

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Q: What is the maximum time period which an oscillating simple pendulum can have?

A: Write the expression for the time period of SHM.

Q: A simple pendulum makes 127 complete oscillations in 3.30 min at a location where g = 9.80 m/s2. (a)…

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Q: You are examining a system with a Pendulum, and release it at an angle of 25°. You measure how long…

A: Here given that the pendulum takes 163 sec to complete 50 osciloscillation.It is released at an…

Q: Imagine you could travel to the moon where the acceleration due to gravity is 1.6 m/s^2. What would…

A: Given Data : The acceleration due to gravity of the moon is given as g = 1.6 m/s2. The length of the…

Q: If both the mass of a simple pendulum and its length are doubled, the period will A) increase by a…

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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: What should you do to the length of the string of a simple pendulum to (a) double its frequency; (b)…

A: (a) The expression to calculate the frequency is given by, f=12πgl Here, g is the gravitational…

Q: A simple pendulum of length 20 cm and mass 5.0 g is suspended in a race car traveling with constant…

A: The formula for the acceleration in a uniform circular motion is: The formula for the frequency of…

Q: Calculate the value of the period for a pendulum in an environment in which it moves with an…

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Q: Consider a simple pendulum that consists of a massless 2.00-meter length of rope attached to a…

A: The time period for pendulum is given by,, T= 2π√( l/g), which is independent of mass.

Q: If the period of a simple pendulum is to be 2.5 s, what should be its length

A: The expression for the simple pendulum is as follows: T=2πlg…

Q: If the total energy of the pendulum at the end is less than its initial energy, does it mean the law…

A: the law of conservation of energy is always held it cannot be made false at any condition  i.e…

Q: A 0.500-kg mass is suspended from a string, forming a pendulum. The period of this pendulum is 3.65…

A: Given data: Mass of an object is, m = 0.500 kg The period of pendulum is, T = 3.65 sec Amplitude is,…

Q: On the Moon, the acceleration of gravity is g/6 . If a pendulum has a period T on Earth, what will…

A: Given data:  Acceleration of gravity on the moon g' = g/6 Period of pendulum on the earth = T…

Q: What is the acceleration in a region where a simple pendulum having a length of 75 cm has a period…

A: Given data: Length (L) = 75 cm = 0.75 m Period (T) = 1.7353 s Required: The acceleration due to…

Q: As usual, the acceleration due to gravity in these problems is taken to be g = 9.80 m / s2, unless…

A: Given: The acceleration due to gravity = 9.80 m/s2 Time period of the pendulum = 0.500 s Length of…

Q: What is the acceleration due to gravity in a region where a simple pendulum having a length 75cm has…

A: Given data :  Time period of pendulum ,T = 1.7357 s  Length of pendulum , L = 75 cm = 0.75 m

Q: If identical 2.00 m long pendulums are set up on Earth and on the Moon (gravity = 1.62 m/s2), what…

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Q: A pendulum clock is accurate on earth, where the period of its pendulum is 1.00 s. (a) Find its…

A: Given Data Period of the pendulum on earth is Tearth=1.00 s Gravitational acceleration on moon is…

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

A: Given,

Q: A simple pendulum consisting of a bob of mass m attached to a string of length L swings with a…

A: Given data The initial mass of the bob is m. The length of the string is L. The time period is…

Q: If the length of a simple pendulum is tripled, by what factor does the period change? If the mass of…

A: Assume the initial length of the simple pendulum is denoted by l. Assume the mass of the pendulum is…

Q: What if we wanted to use a conical pendulum to tell time? It would be great if we had a pendulum…

A: T = 2π √ (Lcos(teta)/g)  T = 3600 s  Teta= 2°

Q: If you took a pendulum to the moon where g = 1.6 m/s/s, what change would you observe in its period?

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

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

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

A: Time periodT=2πlgfrequency f=1T

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

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Q: Consider the spring mass system defined by the differential equation mx" + kx = Fex:(t) If m=0.5 kg,…

A: given:a spring mass system with m=0.5 kg and Fext(t) is shown in graph

Q: A simple pendulum is known to have a period of oscillation, T = 1.55s, Student A uses a digital…

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

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Q: What is the period of a pendulum if its string is 0.75 m long and the object at the end has a mass…

A: given ,  For a pendulum, length of the string , L = 0.75 m mass at the end , m = 0.25 kg  Time…

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: If a pendulum-driven clock gains 5.00 s/day, what fractional change in pendulum length must be made…

A: The time period of motion when the length is its original value can be given as The time period of…

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

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

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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.