ENSC 017 Kinetics: Force & Acceleration PROBLEM SET 3 OBJECTIVE: This task is meant to assess how well you understood the topics and how you can apply them in answering problem solving questions. DIRECTIONS: 1. The student is required to work on the problem set individually. Any student found guilty of committing intellectual dishonesty will be penalized in accordance with the prevailing university rules and regulations. 2. Do not round-off during calculations. 3. Summarize and write your final answers in 3-decimal places. Enclose your final answer/s in a box. Problem 1 Problem 5 Determine the time needed to pull the cord at B down 4 ft starting from rest when a force of 10 lb is applied to the cord. Block A weighs 20 lb. Neglect the mass of the pulleys and cords. The collar A, having a mass of 0.75 kg, is attached to a spring having a stiffness of k = 200 N/m. When rod BC rotates about the vertical axis, the collar slides outward along the smooth rod DE. If the spring is unstretched when s = 0, determine the constant speed of the collar in order that s = 100 mm. Also, what is the normal force of the rod on the collar? Neglect the size of the collar. Problem 2 Block A has a weight of 8 lb and block B has a weight of 6 lb. They rest on a surface for which the coefficient of kinetic friction is µk = 0.2. If the spring has a stiffness of Problem 3 Problem 6 The 1.5 Mg sports car has a tractive force of F = 4.5 kN. If it produces the velocity described by v-t graph shown, plot the air resistance R versus t for this time period. The pendulum bob B has a mass m and is released from rest when = 0o. Determine the tension in string BC immediately afterwards, and also at the instant the bob reaches the arbitrary position Problem 7 Problem 4 The 2-kg block B and 15-kg cylinder A are connected to a light cord that passes through a hole in the center of the smooth table. If the block travels along a circular path of radius r = 1.5 m, determine the speed of the block. The box has a mass m and slides down the smooth chute having the shape of a parabola. If it has an initial velocity of v0 at the origin determine its velocity as a function of x. Also, what is the normal force on the box, and the tangential acceleration as a function of x? Ref: R.C. Hibbeler, Engineering Mechanics 14th Edition