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What is the actual period and what is the actual spring constant. The clock ticks 59 times in 60 seconds so the frequency is 59/60 ticks per second and the period is 60/59=1.02 seconds. Solving the equation T = 2… q m=k for the spring constant with this period gives so 1:02 = 2… q 1=k ) p k = (2…)=1:02) k = 38:2 N/m.
Define the terms period and frequency; List the characteristics of simple harmonic motion; Explain the concept of phase shift; Write the equations of motion for the system of a mass and spring undergoing simple harmonic motion; Describe the motion of a mass oscillating on a vertical spring
What is its spring constant? 115. A spring with a spring constant of 8 N/m is stretched 30 cm. What is the restoring force of the spring? 116. How far is a spring stretched if it has a spring constant of 10 and is stretched by a 20 N force? 117. What is the period of motion of a spring with a spring constant of 200 N/m, if a 10 newton weight is
What is the spring constant? 5. A weight in a spring-mass system exhibits harmonic motion. The system is in equilibrium when the weight is motionless. If the weight is pulled down or pushed up and released, it would tend to oscillate freely if there were no friction. In a certain spring-mass system, the weight is 5 feet below a 10-foot
Objective: To investigate simple harmonic motion using a simple pendulum and an oscillating spring; to determine the spring constant of a spring. Theory: Simple harmonic motion describes an object that is drawn to equilibrium with a force that is proportional to its distance from equilibrium.
Equation of Motion m d2x(t) dt2 = −kx(t) m d2x(t) dt2 + kx(t) = 0 This is the equation of motion of the mass attached to a spring. The movement is an oscillation of the mass around the equilibrium position. The equation of motion is a second order differential equation in time.
In these notes, we introduce simple harmonic oscillator motions, its defining equation of motion, and the corresponding general solutions. We discuss how the equation of motion of the pendulum approximates the simple harmonic oscillator equation of motion in the small angle approximation.
