A stiffer spring with a constant mass decreases the period of oscillation . Increasing the mass increases the period of oscillation.
Why does mass affect the period of a spring?
The period will increase as the mass increases . More mass-with the same spring-will mean a larger period. ... A stronger spring-with a larger value of k-will move the same mass more quickly for a smaller period. As the spring constant k increases, the period decreases.
How does mass affect period?
(Mass does not affect the pendulum’s swing. The longer the length of string, the farther the pendulum falls ; and therefore, the longer the period, or back and forth swing of the pendulum. The greater the amplitude, or angle, the farther the pendulum falls; and therefore, the longer the period.)
Does spring period depend on mass?
The period of a spring-mass system is proportional to the square root of the mass and inversely proportional to the square root of the spring constant.
Does mass Affect force of spring?
| Mass (kg) Force on Spring (N) Amount of Stretch (m) | 0.500 4.900 0.0199 |
|---|
Does mass of pendulum affect period?
The period of a pendulum does not depend on the mass of the ball , but only on the length of the string. Two pendula with different masses but the same length will have the same period. Two pendula with different lengths will different periods; the pendulum with the longer string will have the longer period.
Why mass does not affect pendulum period?
The period of oscillation of a simple pendulum does not depend on the mass of the bob. ... Since the mass factors into both the cause of changing motion and the resistance to changing motion , it cancels out. For a mass-spring system, the mass still affects the inertia, but it does not cause the force.
How do you find the period of a mass spring?
The period of a mass m on a spring of spring constant k can be calculated as T=2π√mk T = 2 π m k .
What happens to the period of a mass spring system when the amount of mass hanging from the spring is decreased?
What happens to the period of a mass-spring system when the amount of mass hanging from the spring is decreased? ... The period increases at first, then returns to the same value . A. A mass-spring system with a 0.5-kg mass oscillates with a period of 0.8 s.
Is spring force constant?
The force exerted by a spring on objects attached to its ends is proportional to the spring’s change in length away from its equilibrium length and is always directed towards its equilibrium position. ... The proportional constant k is called the spring constant.
What is the formula for the force of a spring?
The spring force formula is expressed through the equation: F = – kx.
Does the spring constant change?
The proportional constant k is called the spring constant. ... When a spring is stretched or compressed, so that its length changes by an amount x from its equilibrium length, then it exerts a force F = -kx in a direction towards its equilibrium position.
Why is spring massless?
The spring constant, mass, and amplitude can be varied. ... The spring obeys Hooke’s Law throughout the spring’s range of motion, i.e. the amount by which the spring is stretched from its unstretched length is proportional to the force applied to the spring. The spring is massless . The system is frictionless.
What happens to the period of a pendulum when the mass is doubled?
Doubling the mass of the bob will half the period .
Do heavier pendulums swing faster?
That’s why these pendulums behave the way they do. When you add a weight to the bottom of the pendulum on the right, you make it heavier. ... Shorter pendulums swing faster than longer ones do , so the pendulum on the left swings faster than the pendulum on the right.
Why does period increase with length of pendulum?
Since the force acting on the pendulum is constant (gravity acting on the mass), the velocity of the pendulum is constant. Because it has to travel a longer distance , the time increases.
