What is the motion of a simple pendulum?
What is the motion of a simple pendulum?
The correct option is A Oscillatory motion. Oscillatory motion is the type of motion in which an object moves to and fro about a fixed point. The swinging of a pendulum is an example of oscillatory motion. Physics.
What is differential equation of simple pendulum?
Simple pendulum. Taking O as the origin and positive x- y- and θ-directions as shown, the position of the bob is x=Lsin(θ)y=−Lcos(θ). Remember that θ is a function of time t. So the above equations actually mean x(t)=Lsin(θ(t))y(t)=−Lcos(θ(t)).
What is simple pendulum Class 12?
A simple pendulum has a heavy point mass (known as bob) suspended from a rigid support by a massless and inextensible string. When the bob from its mean position is pulled to one side and then released, the pendulum is set to motion and the bob moves alternately on either side of its mean position.
What is simple pendulum derive an expression for its time period?
For simple pendulum of length L is equal to the radius of the earth ‘R’, L = R = 6.4 x 106 m, then the time period T = 2π √R/2g.
What is a simple pendulum Class 7?
Motion and Time Class 7 Science – Simple Pendulum A simple pendulum is basically an object, such as small metallic ball, tied to a thread of one metre length, and suspended freely from a non moving stand. The metallic ball is called bob of the pendulum.
How do you solve a pendulum equation?
How to analyze a pendulum in swing
- Determine the length of the pendulum.
- Decide a value for the acceleration of gravity.
- Calculate the period of oscillations according to the formula above: T = 2π√(L/g) = 2π * √(2/9.80665) = 2.837 s .
- Find the frequency as the reciprocal of the period: f = 1/T = 0.352 Hz .
What is simple pendulum explain with derivation?
The simple pendulum comprises a small bob of mass ‘m’ suspended by a thin string secured to a platform at its upper end of length L. The simple pendulum is a mechanical system that sways or moves in an oscillatory motion. This motion occurs in a vertical plane and is mainly driven by the gravitational force.
What is simple pendulum derive an expression for time period?
The period of a simple pendulum is T=2π√Lg T = 2 π L g , where L is the length of the string and g is the acceleration due to gravity.
What is the time period of simple pendulum Class 7?
Solution: The time taken to complete one oscillation is known as the time period of the pendulum. Given: – 20 oscillations taking 32s to complete. Therefore 1.6s is the time period of the pendulum.
What is a simple pendulum Class 9?
Summary. A small metallic bob suspended by a light inextensible string from a rigid support, such that it is free to oscillate without friction about a point, is called a simple pendulum.
What is oscillation in Class 8?
Answer: Oscillation is defined as the process of repeating variations of any quantity or measure about its equilibrium value in time. Oscillation can also be defined as a periodic variation of a matter between two values or about its central value.
How can we make a simple pendulum?
JEE Main 2021 LIVE Physics Paper Solutions 24-Feb Shift-1 Memory-Based
How to derive the 3 equations of motion?
– v = u + a t – s = s 0 + u t + 1 2 a t 2 – s = s 0 + v t − 1 2 a t 2 – s = s 0 + ( u + v) t – v 2 = u 2 + 2 a ( s − s 0)
What is the meaning of simple pendulum?
The simple pendulum is a mechanical system that sways or moves in an oscillatory motion. This motion occurs in a vertical plane and is mainly driven by the gravitational force.
Why the motion of simple pendulum is slow at equator?
we can judge the speed of motion of pendulum from its length(l) and gravitational acceleration (g).so for a constant length simple pendulum will be slowest at that part of the earth where g is minimum. so the equatorial radius of earth is greater than its polar radius and as a result the value of g is minimum in the equator. we can say that simple pendulum has a large time period here.so simple pendulum is slowest at the equator of earth
