Question

Show that for small oscillations , the motion of a simple pendulum is simple harmonic. Derive an expression for its time period and frequency.

Expert Answer

Want to see the step-by-step answer?

Check out a sample Q&A here.

Want to see this answer and more?

Experts are waiting 24/7 to provide step-by-step solutions in as fast as 30 minutes!*

*Response times may vary by subject and question complexity. Median response time is 34 minutes for paid subscribers and may be longer for promotional offers.
Tagged in
Science
Physics

Vibrations

Related Physics Q&A

Find answers to questions asked by students like you.

Q: Choose the best answer to the following: When you scale up an object to 3 times its linear size, the...

A: Surface area is proportional to the square of the radius.So it is increased by (3)2 = 9 times.

Q: Choose the BEST answer to the following: Thermal convection mainly involves (a) radiant energy. (b) ...

A: Step 1Thermal convection is the transfer of heat by motion of a fluid, such as air or water from one...

Q: Please do parts all the parts and help me please by providing the work, I attached the 2 parts in se...

A: Given that a vector in xy plane has magnitude of 91.0 units , and has a magnitude of y component as ...

Q: Choose the BEST answer to the following: Polarization is a property of (a) transverse waves. (b) lon...

A: The waves having displacement in the perpendicular direction with respect to the propagation directi...

Q: 1. The state highway patrol radar guns use a frequency of 9.05 GHz. If you're approaching a speed tr...

A: Hey, since there are multiple questions posted, we will answer first question. If you want any speci...

Q: Distinguish between oscillatory and vibratory motion.

A:  Oscillatory and vibratory motion can be distinguished as, 

Q: Distinguish between sustained oscillations and resonant oscillations.

A: The wave is said to have sustained oscillations, if it has constant amplitude which does not depend ...

Q: Choose the BEST answer to the following: When you tap a piece of wood it will produce a characterist...

A: All the objects in nature, when hit or disturbed, would vibrate. If we tap a piece of wood, it also ...

Q: Choose the BEST answer to the following: A real image can be cast on a screen by a (a) converging le...

A: A real image is formed when the light rays converge at a point whereas a virtual image is formed as ...

Q: William Tell must split the apple atop his son's head from a distance of 21 mm . When William aims d...

A: Click to see the answer

Q: A three-wheeler starts from rest, accelerates uniformly with 1 m s-2 on a straight road for 10 s, an...

A: The equation for the distance covered by an object in nth second is

Q: Choose the BEST answer to the following: Lift a 100-N crate with an ideal pulley system by pulling a...

A: Step 1Work done by a body is the product of force on it and the displacement produced by it.Let F be...

Q: If the net force on a mass oscillating at the end of the vertical spring is zero at the equilibrium ...

A: When a mass is oscillating at the end of a vertical spring, the net force on the mass at the mean po...

Q: A spring balance has a scale that reads from 0 to 50kg. The length of the scale is 20cm. A body susp...

A: Let k be spring constant of the spring balance, F be the maximum load it can read, l be the length o...

Q: Choose the BEST answer to the following: A satellite in Earth orbit is above Earth’s (a) atmosphere....

A: If a satellite escapes the gravitational field, it cannot orbit.

Q: An object with a charge of -2.6 μC and a mass of 1.1×10−2 kg experiences an upward electric force, d...

A: a)It is given that the upward electric force is balanced by the downward weight.

Q: A 18.5 kg mass, fastened to the end of a steel wire of unstretched length 1.5 m, is whirled in a ver...

A: Given:Original length of the steel wire, L = 1.5 mYoung’s modulus of the steel = 2x1011 N/m2Mass hun...

Q: Hello! Could you please help me with this problem? thank you! :) have a great day!

A: The expression for the angle between the vectors is,

Q: Define rectilinear motion and uniform motion.

A: Click to see the answer

Q: Three charged particles are at the corners of an equilateral triangle as shown in the figure below. ...

A: Charges,Distance,

Q: A daredevil is attempting to jump his motorcycle over a line of buses parked end to end by driving u...

A: (a)The range of the object is given by,Substitute the values,

Q: At what points, the energy of the simple harmonic oscillator is entirely potential?

A: Click to see the answer

Q: Choose the BEST answer to the following. Which of these can NOT be deflected by electrical or magnet...

A: Alpha rays and Beta rays are the rays that have charge; thus, they are deflected by electrical or ma...

Q: Choose the BEST answer to the following. A radioactive sample has a half-life of 1 hour. Starting wi...

A: The number of half -life passed in a time is,

Q: An imaginary cubical surface of side LL has its edges parallel to the xx-, yy- and z-axes, one corne...

A: As per our guidelines we solve only first 3 subparts, for the solution of remaining part kindly repo...

Q: A 16-kg sled is being pulled along the horizontal snow-covered ground by a horizontal force of 24 N....

A: Click to see the answer

Q: How much charge flows from each terminal of a 16.0 V battery when it is connected to a 5.60 x10-6 F ...

A: Write the expression for charge amount of charge flowing from each terminal of the battery connected...

Q: A man with wrist watch on his hand falls from the top of a tower. Does the watch give correct time d...

A: The free fall has no dependence with the time shown in the wrist watch. The expression for the time ...

Q: A string of “holiday lights” contains 105 bulbs. The bulbs are connected in groups of 15 bulbs each ...

A: Click to see the answer

Q: Choose the BEST answer to the following: Which of these does NOT belong in the family of electromagn...

A: The electromagnetic waves are transverse in nature and the sound waves are longitudinal in nature. T...

Q: A horizontal insulating rod of length 10.5-cm and charge 27 nC is in a plane with a long straight ve...

A: Calculating the force on a small element of the rod:

Q: What magnitude point charge (in C) creates a 10,000 N/C electric field at a distance of 0.200 m? How...

A: Click to see the answer

Q: Choose the BEST answer to the following: Your friend states that under all conditions, any radio wav...

A: Radio wave is an electromagnetic wave with low frequency and it is transverse in nature. Sound wave ...

Q: 46,756,790 mg = _______ kg

A: We know,1 mg = 10-6 kg.

Q: Two parallel rail tracks run north-south. Train A moves north with a speed of 59 km h-1 and train B ...

A: Click to see the answer

Q: Choose the best answer to the following: When wind speeds up as it blows over the top of a hill, atm...

A: Air pressure decreases when a person go up in height.

Q: By what fraction are the wavelengths in this star's spectrum shifted?

A: Using Doppler Effect,

Q: 5. Mick is a 185 lb snowboarder. His snowboard weighs 67 N. What is the combined weight of Mick and ...

A: Given that mass of Mick is 185lb, and the weight of the snowboard is 67N.The combined weight of the ...

Q: Choose the BEST answer to the following: A magnetic force acting on a beam of electrons can change i...

A: The magnetic force acts on a beam of electron and is given by,

Q: 2. Using data from Table, calculate the daily energy needs of a person who sleeps for 8.00 h, walks ...

A: The table shows the energy consumption rate for various activities:

Q: Choose the BEST answer to the following: The red glow in the neon tube of an advertising sign is a r...

A: Neon signs are electric signs lighted by long luminous gas discharge tubes that contain rarefied neo...

Q: Suppose you walk 10.5m in a direction of 23 degrees south of west, then you walk 19.5m in a directio...

A: Click to see the answer

Q: Give the geometric meaning of SHM with the help of uniform circular motion.

A: Along the circumference of a circle having radius “a”, particle  A is moving such that the projectio...