#2 by schedule: The Simple Pendulum 1. The swing angle of the pendulum is "small" when...
(1 point) Suppose a pendulum of length L meters makes an angle of θ radians with the vertical, as n the figure t can be shown that as a function of time, θ satisfies the differential equation d20 + sin θ-0, 9.8 m/s2 is the acceleration due to gravity For θ near zero we can use the linear approximation sine where g to get a linear di erential equa on d20 9 0 dt2 L Use the linear differential equation...
(1 point) Suppose a pendulum with length L (meters) has angle 0 (radians) from the vertical. It can be shown that 0 as a function of time satisfies the differential equation: d20 + -sin 0 = 0 dt2 L where g = 9.8 m/sec/sec is the acceleration due to gravity. For small values of 0 we can use the approximation sin(0) ~ 0, and with that substitution, the differential equation becomes linear A. Determine the equation of motion of a...
show all steps please (1 point) Suppose a pendulum with length L (meters) has angle 0 (radians) from the vertical. It can be shown that 0 as a function of time satisfies the differential equation: d20 +sin0 0 dt2 where g 9.8 m/sec/sec is the acceleration due to gravity. For small values of 0 we can use the approximation sin(0)~0, and with that substitution, the differential equation becomes linear. A. Determine the equation of motion of a pendulum with length...
Part 1: (Theory) Simple Pendulum 1. Consider a mass m hanging from a string of length L that makes an angle with the vertical (shown below). Assume the string is massless and that the hanging object is a point mass. Use Newton's Second Law directly to show that the equation of motion for this simple pendulum can be written: (LO) = -mgsin(o), (1) dia where is the angular displacement of the pendulum from its vertical equilibrium position (and is a...
#2, #3, #4. NOT #1. thank you! 1. Find the quadrant and reference angle associated with 2. For the given functions find without using a calculator: a. Quadrant in which the angle is located b. Reference angle c. The exact value of the trigonometric function a). sin(225) the rotation, sketch the diagram and find the associated point (x, y) on the unit circle. 11T 6 b). cos 3. Solve the oblique triangle with the given characteristics 4. a. Convert the...
This is beyond me right now... 4. Extra Creait: 10 pts The period of a pendulum with length L that makes a maximum angle of 690 with the vertical is dx T/2 1-k2 sin (x) where k =sin (160) and g is the acceleration due to gravity. Expand the integrand as a binomial series to show that 12123212352 224262 2242 1.3.5-....(n-1) . π when n is even Hint: You'll need to use the fact that for/2sin"(x)dx = Note that this...
please answer all prelab questions, 1-4. This is the prelab manual, just in case you need background information to answer the questions. The prelab questions are in the 3rd photo. this where we put in the answers, just to give you an idea. Lab Manual Lab 9: Simple Harmonic Oscillation Before the lab, read the theory in Sections 1-3 and answer questions on Pre-lab Submit your Pre-lab at the beginning of the lab. During the lab, read Section 4 and...