Consider a simple pendulum, having a bob attached to a string, that oscillates under the action of the force of gravity. Suppose that the periodof oscillation of the simple pendulum depends on its length (l), mass of the bob (m) and acceleration due to gravity (g). Derive the expression for its time period using method of dimensions.

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Q: Question 2.11 Use dimensional analysis to determine the dependence of the period T of a simple…

A: Write the dimensions of the period, mass, weight, and length.

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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…

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Q: The period T of a pendulum ( in seconds) is related to its length L (in metres) by the popular…

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Q: The periodic motion of an object is described by this equation: x = ( 2 / 7 m ) cos( π t / 16 ) What…

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Q: A mass of 1.23 kg is attached to an ideal spring with a spring constant of 235 N/m and set into…

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Q: Consider a spring with a spring constant of 10.0 N/m supporting a 2.28 kg mass on a horizontal table…

A: Mass (M) = 2.28 kg Value of spring constant (K) = 10.0 N/m Initial Distance = 10 cm = 0.1 m   This…

Q: Suppose the oscillatory motion of an object can be modeled using the equation s(t) = 7.8sin(3.8t)…

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Q: Using the result of the previous question, find the value of I, if it is given that the first…

A: Value of g is same for both pendulum

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Q: Consider two oscillating systems with equal periods on the Earth's surface: a simple pendulum (small…

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Q: A mass falls from a height 'h' and its time of fall 't' is recorded in terms of time period T of a…

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Q: A simple pendulum is made of a massless string to which a bob of mass 1 kg is attached. The length…

A: The solution of this question is given below...

Q: find the length to the nearest cm. (100 cm= 1m)

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Q: The differential equation of harmonic oscillations has the form: 5.5 d²x/dt² +2.7 x = 0. Find the…

A: Given, The differential equation of harmonic oscillations5.5d2xdt2+2.7x=0

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Q: Derive a relation for the time perlod of a simple pendulum using dimenslonal analysts. The varlous…

A: Introduction: The time period depends on the length of string and acceleration due to gravity.

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Q: It is important to remember that, in a real pendulum, the value of L used in the period equation is…

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Q: The oscillatory movement of a simple pendulum is a characteristic of the regular repetition of…

A: Using the given information of angular  velocity we will find the answer.

Q: A spring (200 N/m) is attached to a mass (0.4kg) and are positioned horizontally.  When the mass is…

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Scalars and Vectors

Scalars and Vectors are the classification of physical quantities that are used to denote various terms in physics.