chap_I_hwk_fall_2010 - Chapter I: Particle Kinematics...

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Unformatted text preview: Chapter I: Particle Kinematics Homework I-9 Problem I.7 Given: Pin P moves within slots cut into links A and B. The horizontal position of link A is given by x = 20 + t2 /4 whereas the vertical position of link B is given by y = 15 − t3 /6, where t is given in seconds and with x and y given in mm. omework Problems ME 274 Find: Determine the velocity and acceleration of P at t = 2 seconds. roblem 2/66) thin slots cut into links A and B. The ion of link A is given by x = 20 + t 2 / 4 tical position of link B is given by where t is given in seconds and with x m. Determine the velocity and and P at t = 2 seconds. I-10 Chapter I: Particle Kinematics Homework Problem I.8 Given: A pitcher throws a baseball with an inital speed of v0 at an angle of θ with the horizontal. Find: Determine the rate of change of speed and radius of curvature of the path when: • the ball is released by the pitcher. ework Problems blem 2/126) ME 274 • the ball reaches the maximum height of its path. baseball with an inital speed of ! with the horizontal. Determine the peed and radius of curvature of the v0 ! released by the pitcher. ches the maximum height of its path. ec and ! = 30° in your analysis. Use the following parameters in your analysis: v0 = 100f t/sec and θ = 30◦ . I-12 Chapter I: Particle Kinematics Homework Problem I.10 mework Problems Given: Block A moves to the right with a speed of vA . ME 274 Find: Determine the speed of block B. roblem 2/213) o the right with a speed of 3.6 ft/sec. eed of block B. Use the following parameters in your analysis: vA = 3.6f t/sec. Particle Kinematics Homework Problems ME 274 Chapter I: Particle Kinematics Homework I-19 Problem I/17 Given: An inextensible cable is attached to block B, is wrapped around a pulleys C Problem I.17 and D and is attached to a fixed support at E. Block B is constrained to move on a vertical guide, and block A is constrained to slide along a horizontal Given: An inextensible cable is attached to block B, is wrapped around a pulleys C and D and surface. When sB = 4 ft , block B is moving downward with a speed of 15 is attached to a fixed support at E. Block B is constrained to move on a vertical guide, and block ft/sec A is constrained .to slide along a horizontal surface. Block B is moving downward with a constant speed of vB . Find: Determine the speed of block A at this instant. Find: Determine the speed of block A. sA D d C A sB E B vB Use the following parameters in your analysis: d = 3f t, sB = 4f t and vB = 15f t/sec I-20 Chapter I: Particle Kinematics Homework Problem I.18 Given: Particle P travels within the x-y plane along a path given by y (x) = x2 /2 − 10x, where x and y are given in feet. The y-component of the position for P is changing at a constant rate of y . ˙ Find: For this problem: • determine the velocity vector of P. • determine the acceleration vector of P. • determine the rate of change of speed of P. Use the following parameters in your analysis: y = 10f t/sec and x = 9f t. ˙ I-22 Chapter I: Particle Kinematics Homework Problem I.20 Given: At the instant shown, the Cartesian components for the position of particle P are known as (xP , yP ). In addition, the Cartesian form for the velocity and acceleration of P are known as ￿P v and ￿ P , respectively. a Particle Kinematics Homework Problems ME 274 Find: For this instant: a) write down the polar unit vectors eR and eφ in terms of their Cartesian ˆ ˆ Problem I/20 ¨ ˙˙¨ components, and b) determine numerical values for R, R, φ, R and φ . ˆ eR P yP ! ˆ e! R xP ￿ ￿ Use the following parameters in your analysis: xP = 15m, yP = 20m, ￿P = −10ˆ + 20ˆ m/sec v i j ￿ ￿ and ￿ P = −8ˆ m/sec2 . a j ...
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This document was uploaded on 12/25/2011.

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