Consider the following pendulum that consists of a massless straight rigid rod aob with a point mass m attached at the bottom point a. the pendulum rotates without friction about the point o and it is initially at vertical equilibrium. a spring k is attached at the top point b and sets the pendulum to motion with the application of a vertical displacement input z(t). the spring k is unstretched at t = 0 and the pendulum is vertical. determine the linearized equation of motion of the pendulum about the vertical position

Aball is thrown straight up into the air with a speed of 21 m/s. if the ball has a mass of 0.1 kg, how high does the ball go? acceleration due to gravity is g = 9.8 m/s^2. a. 22.5 m b. 20.0 m c. 25.0 m d. 17.5 m

Mass (kg) force (n) 5 25 10 50 15 75 20 100 a student was trying to find the relationship between mass and force. he placed four different masses on a table and pulled them using a spring scale. the table shows the different masses used in the experiment and the force required to pull each mass. the student concluded that more force was required to pull heavier objects. what comment would you make regarding his conclusion? a) no clear relation can be observed between mass and force from the data. b) there is a direct proportion between the mass and force listed in the table. c) gravity should have been taken into account while performing the experiment. d) there is an inverse proportion between the mass and force listed in the table.

What is the force that opposes motion and works against the downward pull? a) friction b) gravity c) weight d) acceleration