Question 1) The Atwood machine consists of two masses m1 and m2 connected by a massless (inextensible) string passingover a massless pulley. Massless pulley implies that |˜T1|=|˜T2|=T. And, inextensible string implies that |˜a1| =|˜a2|= a. If m1 = 0.1kg and m2 = 0.2kg, find T.
Question 2) Consider an object of mass 024 kg, on a frictionless horizontal surface, on the end of a horizontal spring of spring constant 1800 Wm. The object is pulled to a point 15 cm from its equilibrium position, stretching the spring 15 cm, and, at time zero, released from rest. Write expressions for the position, velocity, and acceleration of the object, in terms of time then. Determine the position, velocity, and acceleration at time 0.050 s.
Question 3) Consider an object of mass 0.24 kg, on a frictionless horizontal surface, on the end of a horizontal spring of spring constant 1800 Wm. The object is pulled to a point 15 cm from its equilibrium position, stretching the spring 15 cm, and, at time zero, released from rest. Determine the period of oscillation.
Question 4) Consider an object of mass 0.24 kg, on a frictionless horizontal surface, on the end of a horizontal spring of spring constant 1800 Wm. The object is pulled to a point 15 cm from its equilibrium position, stretching the spring 15 cm, and, at time zero, released from rest. Determine the frequency of oscillation.
Question 5) A mass is held above ground using two ropes as described below. Let m = 20.0 kg, θ1 = 30.0o, and θ2 = 60.0o. What is the magnitude of T1?
Question 6) An individuals' mass is 75 kg. How much will they weigh on a bathroom scale (designed to measure the normal force in Newton's inside an elevator that is slowing down at 2m/s while moving upward?