A mass of 9.1 g is suspended from a massless spring of natural length 90 mm with the spring constant k = 3 Nm1 and causes the spring to extend by 10 mm. The mass is pulled down a further 5 mm and then released. Assuming g = 9.8 ms2, calculate the period of simple harmonic motion of the mass. Give your answer in SI units.

A mass of 4.6 g is suspended from a massless spring of natural length 90 mm with the spring constant k = 3 Nm and causes the spring to extend by 10 mm. The mass is pulled down a further 5 mm and then released. Assuming g = 9.8 ms2, calculate the period of simple harmonic motion of the mass. Give your answer in Sl units.

You have made a physical pendulum by swinging a rod of mass M = 1.08 kg and length L = 1.45 meters around its end. The mass of the rod is distributed uniformly along its length. We will assume that the amplitude of the swing is max = 19.34 degrees. Solid Rod Swings in Simple Harmonic Motion ^ 0=-0, max 0=+0₁ max Determine all the following: The FORMULA for the moment of inertia of your rod, I = The distance from the pivot point to the Center-Of-Mass, d = The angular frequency of the pendulum, w = The amplitude of the motion in radians, max = radians The angular velocity when 0 = 64% of full swing, w(0 = 0.64 0max): NOTE: The first question requires a FORMULA, not a value. rad/sec = meters rad/sec

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A 3kg block is attached to one end of a spring and resting on a frictionless surface. The mass is pulled away from rest and put to motion. A motion sensor is stationed to capture the data from the motion and we are given the following equation for the speed of the object in meters per second: v=-6.5 sin(4.0t). What would be the amplitude of the motion, the angular frequency, and the spring constant?

A mass of 16 kilograms is suspended from a spring with spring constant 7 Kg/sec^2. The damping constant is 2 Kg/sec and the spring is subject to an external force F(t)= 3cos(9t) Newtons. The motion of the mass eventually settles down to a periodic oscillation. What is the period (in sec) of this periodic oscillation? 2 9.

A (12.6 + A) g mass is hung on a string with a length of (68.4 + B) cm. The mass is then pulled back until the string makes a (5.00 + C/10) degree angle from the vertical and released. Find the period of the pendulum. Give your answer in seconds (s) and with 3 significant figures. A=20 B=78 C=8

A spring hangs vertically from a ceiling. The spring constant of the spring is k=15 N/m. A 2kg object has been attached to the spring and the spring has already come to its new equilibrium. Someone pulls the object down by 5cm and releases it at time t = 0s. The spring and object begin to oscillate under simple harmonic motion. Find the total energy of the system, the maximum kinetic energy, the maximum potential energy, and the positions where the maximum energies occur.  Answers: 0.01875 J, 0.01875 J

A mass 3,476g is attached to an ideal spring. Once set in motion the mass-spring system is a harmonic oscillator. This mass spring system has a total mechanical energy of 0.503.J. If the oscillation amplitude is 8.723cm, what is the period of oscillation (in s)?

Let the spring have a mass of 191.3 +/- 01g. A 75+/- 01 g mass is attached to the spring. The mass is displaced 1/2 inch and released from rest. After fitting the position data with a sine fit, the position amplitude is found to be 0.0146+/- 0.0003 M. A) calculate the angular frequency of the mass (with uncertainty)  b) Determine the amplitude of the velocity of the mass (with uncertainty)  c) Find the amplitude of the acceleration (with uncertainty)