The time period (t) of a simple pendulum may depend upon m the mass of the bob, I the length of the string and g the acceleration due to gravity. Find the depen- dence of t on m, l and g.

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Q: (a) x(t) M ᎾᎥ I 1 m

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A: Given that,Force : F = 640 (N)Spring : x = 4 (m)Mass : m = 40 (kg)Velocity : v = 6 (m/sec)Here we…

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A: Explanation and solution shown in the picture below

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

A: frequency of oscillation of a pendulum is given by: f = 12πgL We can see that frequency of a…

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Q: Calculate the time period of a simple pendulum of length = 48 cm, that has a bob of mass 1.9 kg.

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Q: A spring of mass 66 g and spring constant 0.24 Nm is suspended from the ceiling. If the spring is…

A: Solution: The position of the mass suspended by the spring is varying by time and is given by the…

Q: Imagine a baseball swinging on a massless string, like a pendulum. What effect does moving the…

A: Dear student The time period of a simple pendulum is given by: T = 2π√(L/g) Where, L = length of…

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: The T.E. of particle of mass 200 gm performing S.H.M. is 10-3 J. Find the maximum velocity and…

A: To find-(1)Maximum velocity (Vm)=?(2)  period(T)=?Given-For a particle, mass (m)=200 gmTotal energy…

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Q: A simple pendulum of length l is suspended from a roof of a trolley which moves in a horizontal…

A: the time period of the pendulum is

Q: A 10-kg mass is traveling to the right with a speed of 2m/s on a smooth horizontal surface when it…

A: Given : m1=10 kg            v1 = 2m/s            m2 = 10 kg            v2= 0            k = 110 N/m…

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Q: Q No 3 When a body of unknown mass is attached to an ideal spring with force constant 50R N/m it is…

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Q: a mass of m is hung vertically from a spring with spring constant k. The period T is found tobe…

A: Initial mass is m Initial spring constant is k Initial time period is T=1 s Final mass is m'=5m…

Q: 3. The simple pendulum A of mass m, and length / Is suspended from the trolley B of mass mɛ. If the…

A: Given: Pendulum A of mass =mA Length =l Trolley of mass= mB System at rest θ=0 velocity of trolley…

Q: nass of 2 kg stretches a spring 10 cm. The mass is acted on by an external force of 10 sin(2t) N and…

A: Here external force = f° = 10 N and frequency of force = 2 rad /s ,  spring constant k = force…

Q: A force of 640 newtons stretches a spring 4 meters. A mass of 40 kilograms is attached to the end of…

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Q: (d) The force, F, of a turbine generator is a function of density p, area A and velocity v. By…

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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

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Q: When setting the length of the pendulum, it is important that: The length of string from the pivot…

A: When setting the length of the pendulum, it is important that , the accurately measure length of the…

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A: Given data: The natural frequency is ωn. The buckling weight is wcr. Draw the diagram of 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 m =0.3kg related with horizontal sprig oscillates with sprig constant 30kg i sec". At 1 =…

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Q: In the figure, a 2300 kg demolition ball swings from the end of a crane. The length of the swinging…

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