


Study with the several resources on Docsity
Earn points by helping other students or get them with a premium plan
Prepare for your exams
Study with the several resources on Docsity
Earn points to download
Earn points by helping other students or get them with a premium plan
Community
Ask the community for help and clear up your study doubts
Discover the best universities in your country according to Docsity users
Free resources
Download our free guides on studying techniques, anxiety management strategies, and thesis advice from Docsity tutors
These are the notes of Past Paper of Physics for Scientist and Engineers and its the important key points are: Speed of Package, Initial Velocity, Constant Speed, Triangular Wedge, Coefficient of Dynamic Friction, Free Body Diagram, Vertical Circle
Typology: Exams
1 / 4
This page cannot be seen from the preview
Don't miss anything!
1 st^ MIDTERM
This exam is closed book, but you are allowed half page (double-sided) of handwritten notes of a one 8.5" x 11" page. You may use a calculator, however NO wireless calculators or any calculator functions on your cell phone are allowed. Anyone using a wireless calculator will forfeit their exam and automatically receive the score of zero. Don’t forget: a) Write your name, Discussion Section #, GSI name and SID# on the top of all materials you intend to hand in and want to be graded. b) Remember to circle all of your final answers. c) Cross out any work you decide is incorrect, with an explanation in the margin.
Suggestions: Read through the entire exam. Start with the problems you are most familiar with. In this way you will secure some credits. In general: Work to maximize your credit -- try to obtain at least partial credit on every part of every problem.
GOOD LUCK!
Print Name__________________________ Discussion Section# or Time ____________
Signature ___________________________ Discussion Section GSI ________________
Student ID# _________________________
Problem Points Score 1 20 2 20 3 20 4 20 5 20 TOTAL 100
Problem 1 (20pts):
A relief airplane is delivering a food package to a group of people stranded on a very small island. The island is too small for the plane to land on, and the only way to deliver the package is by dropping it. The airplane flies horizontally with constant speed of v 0 = 200 m/s at an altitude of h=1000m. For all parts, assume that the "island" refers to the point at a distance D from the point at which the package is released, as shown in the figure. Ignore the height of this point above sea level. (a) (10pts) After a package is ejected from the plane, how long will it take for it to reach the sea level from the time it is ejected? Assume that the package, like the plane, has an initial velocity of v 0 = 200 m/s in the horizontal direction. (b) (5pts) If the package is to land right on the island, at what horizontal distance D from the plane to the island should the package be released? (c) (5pts) What is the speed vF of the package when it hits the ground?
Problem 2 (20pts): A window cleaner of mass m=70Kg stands on a platform of mass M=100Kg. The platform is suspended from a frictionless and massless pulley by a counter weight of 100 Kg as shown in figure: Assume that the rope has no mass also. (a) (10pts) How much force should the window cleaner apply to the rope in order that he can raise himself slowly at a constant speed? (b) (10pts) Suppose the window cleaner is ascending with a constant speed of v= 3 m/s towards a window at a distance of d= 5 m above him. What force should he apply now in order that he will stop just in front of the window?
Problem 4 (20pts): A small metal cylinder rests on a circular turntable that is rotating at a constant speed (see panel a). The small metal cylinder has a mass of m, the coefficient of static friction between the cylinder and the turntable is μs, and the cylinder is located at a distance r from the center of the turntable. (a) (10pts) What is the maximum speed vmax that the cylinder can have to move along its circular path without slipping off the turntable? The cylinder is now connected to the central post by a rope (see panel b). (b) (10pts) How an observer outside (3pts) or an observer on the turntable (3pts) would draw the free body diagram? Write Newton’s second law for the cylinder in both cases (4pts).
Problem 5 (20pts): A pilot of mass m in a jet aircraft executes a loop as shown in the figure. In this maneuver the aircraft moves in a vertical circle of radius R at a constant speed v 0. (a) (10pts) When does the pilot think that he is lighter? (b) (10pts) What is the minimum velocity for the pilot to complete the loop without falling out of the plane?