A simple pendulum is set into motion at two different times with different initial conditions. The first time: the bob is in its equilibrium position and is given an initial velocity +4 m/s. The maximum height reached by the bob is h1,ma and the period of motion is T1. The second time: the bob is in its equilibrium position and is given an initial velocity +2 m/s. The maximum height reached by the bob is h2,max and the period of motion is T2. Assume that the motion is simple harmonic, which of the following is true?

Q: A simple pendulum is set into motion at two different times with different initial conditions. The…

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Q: simple

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A: Given, Velocity of bob, v1=4m/s Time period of bob, T=T1 maximum height of bob is = h1 when Velocity…

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A: Mass M =5kg Spring constant K= 8 N/m

Q: A simple pendulum is set into motion at two different times with different initial conditions. The…

A: The solution is given below

Q: A simple pendulum is set into motion at two different times with different initial conditions. The…

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Q: A simple pendulum is set into motion at two different times with different initial conditions. The…

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Q: A simple pendulum is set into motion at two different times with different initial conditions. The…

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Q: A simple pendulum is set into motion at two different times with different initial conditions. The…

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Q: A simple pendulum is set into motion at two different times with different initial conditions. The…

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Q: A simple pendulum is set into motion at two different times with different initial conditions. The…

A: Given v1=+4m/s v2=+2m/s Their corresponding height are h1max=h1m and h2max=h2m And their…

Q: A simple pendulum is set into motion at two different times with different initial conditions. The…

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Q: A simple pendulum is set into motion at two different times with different initial conditions. The…

A: ans. (1)    the time period of a pendulum depends only on the length of the pendulumtime period, T…

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A: Giveninitail height, h1=1.73 mfinal height, h2 =1.17 mconcept used here is conservation of energy.

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A: Length of the string,L=2.33 m Angle of above the vertical,θ=36.3

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Q: A simple pendulum is set into motion at two different times with different initial conditions. The…

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Q: Consider a spring with a spring constant of (12.6 + A) N/m. What mass would you need to hang on the…

A: Period of the spring T=2πmkm=T2π2k

Spring Potential Energy

The potential energy is the energy possessed by a body by virtue of its position or the energy held by the object due to its position relative to other objects, its force like stresses, charge, and other factors affecting the particles of the body. The potential energy is the measure of the net work done by or on the body. The spring potential energy is the potential energy stored due to the deformation of an elastic spring and this elasticity is due to the stretched spring. The elasticity is the ability of a solid-state matter to come back to its equilibrium position or original position after any kind of external force is acted on it. It is also known as Elastic potential energy. The potential energy here is caused due to the displacement of the spring from its equilibrium position to another position and this potential energy is equal to the net work done due to the stretching of the spring. It also resembles the same mechanics of the oscillation of a simple pendulum, where due to the external force, the object moves from its equilibrium position to its maximum ends and the periodic motion continues till it comes back to the equilibrium position to rest.