A pendulum consists of a mass m and a massless stick of length I. The pendulum support ocillates horizontally with a position given by x(t) = A cos(wt). Find the equation of motion for the angle of the pendulum.
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- Ten measurements of the period of a simple pendulum were as follows: 2.13 s, 2.07 s, 2.24 s, 2.20 s, 2.08 s, 2.11 s, 2.15 s, 2.19 s, 2.22 s, 2.16 s (1) Calculate the standard deviation (SD) of the measurement results, and the standard error which is given by:standard error = SD/nI use a pendulum consisting only of a wooden rod with a length of 0.4 m. The period (T) of each oscillation is 1.00 s. Using this period, evaluate this equation.A spring is attached to the ceiling and pulled 10 cm down from equilibrium and released. The amplitude decreases by 11% each second. The spring oscillates 9 times each second. Find an equation for the distance, D the end of the spring is below equilibrium in terms of seconds, t. D(t) =
- A-kg mass is attached to a spring with stiffness 25 N/m. The damping constant for the system is 4 N-sec/m. If the 15 55 mass is moved 8 m to the left of equilibrium and given an initial rightward velocity of m/sec, determine the equation of motion of the mass and give its damping factor, quasiperiod, and quasifrequency. What is the equation of motion? y(t) = (Type an exact answer, using radicals as needed.) ***A mass 5-kilogram attached to end of a spring that is stretched 20 cm by a force of 9N. It is set in motion with initial position x(0)=0 and velocity v(0)= -10 m/s. Find the amplitude and the frequency of the resulting motion. Enter exact answers and use pi for "Amplitude = "Frequency = m" HZ"Please help