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What is differential equation of spring mass system attached to one end of seesaw?
The differential equation for a spring-mass system attached to one end of a seesaw can be derived from Newton's second law. If the mass ( m ) is attached to a spring with spring constant ( k ), the equation of motion can be expressed as ( m\frac{d^2x}{dt^2} + kx = 0 ), where ( x ) is the displacement from the equilibrium position. Additionally, if the seesaw is rotating, the dynamics will involve torque and may require considering angular motion, but the basic oscillatory behavior remains governed by the spring-mass dynamics. The overall system would likely result in a coupled differential equation incorporating both linear and rotational dynamics.
What else can I help you with?
What is the formula to find the spring constant?
F = - k x In this equation, x is the distance that the spring has been stretched or compressed away from its equilibrium position F is the restoring force exerted by the spring. k is the spring constant.
What does linearity mean in math?
In a straight line (satisfies an equation of the form y = mx + b.)
What is the difference between coupled pendulum and simple pendulum?
simple pendulum center of mass and center of oscillation are at the same distance.coupled pendulum is having two bobs attached with a spring.
What are the 4 example of bodies performing simple harmonic motion?
Pendant in a clock Swing Suspended spring with mass attached An object moving back and forth between rubber buffers along an air track
Why does the time period of pendulum does not depend on the mass of the bob?
T=2pi sqrt(m/k) here,m=mass of the body which is oscillatingk=force or spring constantk=m.w2 after substituting value of k in the first equation we get,T=2pi/wand hence we can see in any case it does not depend on the mass of the body as it cancels down when we put the value of k in the equation.
What is the conservation of energy equation for a spring system?
The conservation of energy equation for a spring system is: ( frac12kx2 frac12mv2 frac12kA2 ) where: ( k ) is the spring constant ( x ) is the displacement from equilibrium ( m ) is the mass of the object attached to the spring ( v ) is the velocity of the object ( A ) is the amplitude of the oscillation
What is the equation of motion for two masses connected by a spring?
The equation of motion for two masses connected by a spring is given by the differential equation (m1ddotx1 k(x1 - x2) 0) and (m2ddotx2 k(x2 - x1) 0), where (m1) and (m2) are the masses, (k) is the spring constant, (x1) and (x2) are the displacements of the masses from their equilibrium positions, and (ddotx1) and (ddotx2) are the accelerations of the masses.
What is the period of a spring equation?
The period of a spring equation is the time it takes for the spring to complete one full cycle of motion, usually measured in seconds.
How do you recenter a differential pressure valve that has no centering spring?
smell the backside of your hand
What factors influence the period of a spring?
The period of a spring is influenced by factors such as the mass attached to the spring, the spring constant, and the amplitude of the oscillation.
What spring pushes the object attached to its ends?
A spring that pushes the object attached to its ends is known as a compression spring. When the ends of the spring are compressed or pushed together, it exerts a force in the opposite direction, pushing the object away from it.
How do you calculate velocity of a box attached to a spring?
some basic physics will tell you that the mass of the box times acceleration due to gravity times the height of the box above the ground, minus the force of the spring or the spring constant times the distance the spring stretches will equal .5 times the mass of the box times the velocity squared mgh-kx=.5mv2
What is the spring displacement equation used to calculate the distance a spring is stretched or compressed from its equilibrium position?
The spring displacement equation is given by x F/k, where x is the distance the spring is stretched or compressed from its equilibrium position, F is the force applied to the spring, and k is the spring constant.
What is the equation for the work done by a spring?
The equation for the work done by a spring is W 0.5 k x2, where W is the work done, k is the spring constant, and x is the displacement from the equilibrium position.
How time period depends upon spring constant?
The time period of a simple harmonic oscillator is inversely proportional to the square root of the spring constant. This means that as the spring constant increases, the time period decreases. Mathematically, the equation for the time period of a simple harmonic oscillator is T = 2π√(m/k), where T is the time period, m is the mass attached to the spring, and k is the spring constant.
The use of balanced in a sentence?
A seesaw can be balanced with equal weight. I balanced on a ledge, so I wouldn't fall. The gymnast balanced on the beam, after a hand spring.
Which states the relationship between the mass attached to the end of the spring and the length the spring is stretched?
more mass the longer the spring
