
Where is the maximum kinetic energy in the pendulum?
Answer
497.7k+ views
Hint: kinetic energy is defined as the energy possessed by the body concerning its motion.
The kinetic energy depends on the mass and the velocity of the object.
The kinetic energy is maximum at an equilibrium position
Complete answer:
The relation between the kinetic energy, mass, velocity is given as follows,
Kinetic energy= $\dfrac{1}{2}m{v^2}$
At equilibrium, the kinetic energy will be maximum because velocity is maximum at this point. When the objects move faster than the objects have the highest kinetic energy.
The kinetic energy concept is related to the position of the pendulum. When the bob moves towards the equilibrium position then the kinetic energy of the bob will increase.
When the bob moves away from the equilibrium position then the kinetic energy of the bob will decrease.
As a pendulum swings it exchanges its kinetic and gravitational energy constantly. At the top of the swing, the pendulum has zero velocity so the kinetic energy becomes zero.
The potential energy of the pendulum is written as follows,
$PE = mgh$
Where
\[g\] is the acceleration.
\[h\] is the height.
At a high point, the pendulum is motionless, here all the energy is potential energy and no kinetic energy.
When we ignore the friction and nonconservative forces we can find the mechanical energy is conserved in a simple pendulum.
Here, The answer is the kinetic energy of the pendulum is maximum at the equilibrium position because at the position the velocity is high.
Note: The period of the pendulum does not get affected by mass.
There is a direct relationship between the angle and velocity, so the mass does not affect the period of a pendulum.
When the pendulum swings front to back, it refers to the constant exchange between kinetic energy and gravitational potential energy.
The kinetic energy depends on the mass and the velocity of the object.
The kinetic energy is maximum at an equilibrium position
Complete answer:
The relation between the kinetic energy, mass, velocity is given as follows,
Kinetic energy= $\dfrac{1}{2}m{v^2}$
At equilibrium, the kinetic energy will be maximum because velocity is maximum at this point. When the objects move faster than the objects have the highest kinetic energy.
The kinetic energy concept is related to the position of the pendulum. When the bob moves towards the equilibrium position then the kinetic energy of the bob will increase.
When the bob moves away from the equilibrium position then the kinetic energy of the bob will decrease.
As a pendulum swings it exchanges its kinetic and gravitational energy constantly. At the top of the swing, the pendulum has zero velocity so the kinetic energy becomes zero.
The potential energy of the pendulum is written as follows,
$PE = mgh$
Where
\[g\] is the acceleration.
\[h\] is the height.
At a high point, the pendulum is motionless, here all the energy is potential energy and no kinetic energy.
When we ignore the friction and nonconservative forces we can find the mechanical energy is conserved in a simple pendulum.
Here, The answer is the kinetic energy of the pendulum is maximum at the equilibrium position because at the position the velocity is high.
Note: The period of the pendulum does not get affected by mass.
There is a direct relationship between the angle and velocity, so the mass does not affect the period of a pendulum.
When the pendulum swings front to back, it refers to the constant exchange between kinetic energy and gravitational potential energy.
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