Class 11 Physics Online Notes Periodic and Harmonic Motion

11th Physics

Periodic motion of a simple pendulum

If the motion of an object is periodic, then there is a characteristic time: the time it takes for the motion to repeat itself. This is called the period (of the periodic motion) and is usually given the symbol T:

Period (T): The time for one complete cycle of the periodic motion.

For example, the period of the rotation of the earth about its axis is one day. During the quarter, when classes are in session, the period of our activities is one week. We can also speak of the number of cycles repeated per unit time. This is called the frequency of the periodic motion:

frequency (f): The number of cycles per unit time.

Simple Harmonic Motion

If the motion of an object is a perfect single sinusoidal function, we term the motion ”simple harmonic”. Let’s review the mathematics of simple trig functions. We need just three parameters to describe any single sinusoidal function: the period (T), the amplitude (A), and a parameter related to the position at time t = 0. The amplitude of the motion is the maximum value from equilibrium that the object travels. Suppose the object starts off initially at x = 0, has some initial speed in the +x direction and an amplitude A. In this case, the motion of the object is described by:

x(t) = Asin( 2πt /T )

where T is the period of the motion. One often defines 2π/T to be the variable ω:

ω ≡ 2π / T

So one often sees the equation for this case of simple harmonic motion written as x(t) = Asin(ωt). At time t = 0, the position is at x = 0 since sin(0) = 0. The velocity of the particle at any time t is found by differentiating x(t):

v(t) = dx / dt = Aωcos(ωt)

Continue complete article click Class 11 Physics Online Notes Periodic and Harmonic Motion

Latest updates from CBSE Board, Enroll with TakshilaLearning

Comments

Lessons-Worksheets-Question Papers-CBSE Class 2 English

Lessons-Worksheets-Question Papers-CBSE Class 2 English CBSE 2nd Class English – One and Many In this blog, we share the spelling rules used in the concept of One and Many. When there is only one of a naming word (noun), it is said to be a singular noun . When a noun shows more than one, it is said to be in the plural . We can add –S, -es, -ves or ies to show that there is more than one noun. For example, we say many birds, four biscuits, six brushes. But for the students of Class 2 , it’s very difficult and confusing to understand where to use s , es, ves or ies in the form of many. Don’t worry, it looks difficult, but it is very easy as in grammar each concept has a set of rules that need to practice. Noun ending with –s, -x, -o, -sh, -ch, and –ss form plurals by taking –es. Look at these pairs of words: Bus – Buses Brush – Brushes Continue ..... Click here ...

Class 3 English Practice Grammar Worksheet -The Adverb

Class 3 English Practice Grammar Worksheet -The Adverb Class 3 English – The Adverb – Kinds of Adverb Fill in the blanks with suitable Adverbs of place. Choose from the box. Up outside everywhere back down away here there ...

PURCHASED GOODWILL METHOD UNDER IND AS 103

The acquisition of subsidiaries results in Goodwill calculation and also records net assets of the subsidiary at fair value on the date of acquisition. Let’s get answers to all the questions related to Goodwill, valuation of NCI, and impairment relating to them. Q1 – What are the ways in which an entity can make payment for purchase consideration? ANS: – Cash – Share exchange – Deferred payment – Contingent consideration Q2 – How is deferred payment dealt, when it forms part of purchase consideration? ANS: The deferred payment is discounted to present value and included in the cost of consideration. At the end of each year, the liability is increased by unwinding the discount, until the payment is settled. For example, An amount of Rs. 108,000 was deferred to be paid after 2 years. The discount rate applicable is 8%. The net present value today of Rs. 108,000 is equal to (108,000 * 1) / (1.08) ^2)= Rs. 92,593 included in purchase consideration. A liability of Rs. 92,59...

Takshila Learning - Online Tutorials

Search This Blog