The figure below shows a massless string wound around a spool of radius r. The mass falls with a constant acceleration, a. What is the equation for y in terms of θ and r? What is the equation for v in terms of ω and r? What is the equation for a in terms of α and r? Start from the expression for uniform acceleration in the y-direction for the falling mass and clearly show any steps or substitutions you make.

The figure below shows a massless string wound around a spool of radius r. The mass falls with a constant acceleration, a. What is the equation for y in terms of θ and r? What is the equation for v in terms of ω and r? What is the equation for a in terms of α and r? Start from the expression for uniform acceleration in the y-direction for the falling mass and clearly show any steps or substitutions you make.

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Solve it correctly please. I will rate accordingly
A 5.8 kgkg mass hanging from a spring scale is slowly lowered onto a vertical spring, as shown in the figure(Figure 1). What does the spring scale read just before the mass touches the lower spring? Express your answer to two significant figures and include the appropriate units. The scale reads 18 NN when the lower spring has been compressed by 2.7 cmcm . What is the value of the spring constant for the lower spring? Express your answer to two significant figures and include the appropriate units. At what compression length will the scale read zero? Express your answer to two significant figures and include the appropriate units.
This problem pertains to the diagram on the right. Two dock workers pull a 1500 kg boat. a) What is the sum of force A and force B? Give the x and y components, in units of Newtons. b) What is acceleration of the boat? Give the x and y components, in units of m/s2. c) What is the magnitude of the boat’s acceleration, in units of m/s2? d) What is the direction of the boat’s acceleration? Give your answer as an angle measured relative to the x axis.
The 7 lb particle is subjected to the action of its weight and forces F1 {2i + 6j 2tk} lb, F2 = {t°i – 4tj – 1k} lb. and F3 = {-2ti} lb. where tis in seconds. F3 Part A Determine the distance the ball is from the origin 2 s after being released from rest. Express your answer to three significant figures and include the appropriate units. Hint 1. How to analyze spatial movement In order to analyze movement of the ball, consider its movement along each axis independently from others. You can do so, because each force component does not depend on others, only on time t. Set up and solve equations of motion along each axis. Do not forget weight acting in the negative z direction. Hint 2. How to detemine distance from the origin at 2s From equations of motion along each axis you can express components of the ball's acceleration as functions of time t. Using them and the fact that the ball starts from rest, you can express velocity components as functions of t. Finally, because the ball…
1.) Consider the diagram below. Mass Ma = 5kg and Mb = 50kg. The coefficient of kinetic friction between the black Ma and the table top is .2 = uk. Assume the tension in the cord is uniform throughout its length, the acceleration of each block is the same, and the pulley has no mass or friction. Calculate: a.) The acceleration in the system. b.) The tension T in the cord. mA mB
Please complete the prodecure and the solution and the figure. Please list the given and the formula that had been used. Box the answer.
Background: A full non-uniform circular motion We are going to have an object completing a full circle. A smart-cart was swiveled in the vertical (i.e. in front of us). The cart’s mass is ~240 grams and is hanging from a 0.5 m inextensible light string. In this experiment, the time in seconds and force of tension in Newtons for the smart-cart was measured. a) Find an algebraic equation that relates the minimum/maximum tension to the minimum/maximum linear speed so that the speed magnitudes may be estimated. b) What would be a good way to approximate the linear acceleration at a given time? (i.e. ~3.25 s, which is approximately halfway between the minimum and maximum tension values)
e1 A double incline is setup with two ramps as shown. The left block has a mass m1, and the right block has a mass m2. The left ramp is rough with kinetic friction coefficient uy and an angle 01. The ramp on the right is frictionless with an angle 02. The pulley is massless and frictionless. Assume the system starts accelerating to the right on initial release. a) In the Space below draw a set of free body diagrams (or a single one if taking that method which is fine) to fully describe all forces in this problem. b) Find an equation for the acceleration of the system.
Fill in the data as you complete the lab. In the table, m represents mass and r represents the distance from the fulcrum. Use a zero or a dash (–) when there is no second object on one side of a problem. Include units with all data. The image of the balancing act is scenario 2. The object on the right is called Mystery A.