Assume that the magnitude of the acceleration due to gravity is.
Problem 4 A square object is constructed of four identical uniform thin sticks, each of mass m and length L, attached together. This object is hung on a hook at its upper corner. If it is rotated slightly to the right and then released, at what frequency will it swing back and forth? Hints: Find the distance from the hook to the center of mass of the object. Then find the moment of inertia of each stick with respect to...
A small object oscillates back and forth at the bottom of a frictionless hemispherical bowl, as the drawing illustrates. The radius of the bowl is R, and the angle is small enough that the object oscillates in simple harmonic motion. Derive an expression for the angular frequency w of the motion. Express your answer in terms of R and g, the magnitude of the acceleration due to gravity. Hemispherical bowl R
An object is formed by attaching a uniform, thin rod with a mass of mr = 7.31 kg and length L = 5.68 m to a uniform sphere with mass ms = 36.55 kg and radius R = 1.42 m. Note ms = 5mr and L = 4R. *What is the moment of inertia of the object about an axis at the left end of the rod? *If the object is fixed at the left end of the rod, what...
In a ballistic pendulum an object of mass m is fired with an initial speed v0 at a pendulum bob. The bob has a mass M, which is suspended by a rod of length L and negligible mass. After the collision, the pendulum and object stick together and swing to a maximum angular displacement θ as shown.Part AFind an expression for vo, the initial speed of the fired object. Express your answer in terms of some or all of the...
The following problem requires MATLAB.
A pendulum is a rigid object suspended from a frictionless pivot point. If the pendulum is allowed to swing back a and forth with given inertia, we can find the frequency of oscillation with the equation 2pi integral = Squareroot mgL/I where f = frequency. m = mass of the pendulum, g = acceleration due to gravity. L = distance from the pivot point to the center of gravity of the pendulum, and I =...
At the time t = 0 s, an object of mass m = 10.5kg goes through the origin of a reference frame with at velocity x_0 = 12.0 m/s directed along the x axis. A constant force F = 15 N distorted along the y axis is applied to the object. a) Draw a free body diagram of the object. b) Calculate the magnitude of the object's acceleration. c) Calculate the x and y coordinate of the object at the...
Please do all questions and show work.
1. (2 points) A 200 g mass attached to a light spring oscillates on a frictionless, horizontal table. The mass is pulled 8 cm and released. A student finds that 12 oscillations takes 18 seconds. (a) What is the spring constant? (b) What is the maximum speed of the mass? 2. (3 points) The position of an object connected to a spring varies with time according to the expression x = (7.5 cm)cos...
Question 16 3.5 pts Students attach a thin strip of metal to a table so that the strip is horizontal in relation to the ground. A section of the strip hangs off the edge of the table. A mass is secured to the end of the hanging section of the strip and is then displaced so that the mass-strip system oscillates, as shown in the figure. Students make various measurements of the net force F exerted on the mass as...