4) This Atwood's machine includes two blocks connected by a cable, going over a pulley without slipping.Block 1 (30.0 kg) is connected to a spring (70.0 N/m), and slides on a horizontal surface with a coefficient ofkinetic friction of 0.0100. Block 2 is 50.0 kg, and hangs vertically from the cable. The pulley is a disk with aradius of 0.500 m, and its moment of inertia about the center of mass is 10. 0 kg-m“.a) Draw the three free body diagrams, and write out Newton's 2nd Law for each.b) Derive the equation of motion (inhomogeneous 2nd order ODE) for this system.c) Use u-substitution to rewrite this as a homogeneous 2nd order ODE.d) Assume the position x as a function of time t is of the formx(t) = A cos (wt + p)I diskfor undamped natural frequency w, phase angle P, andamplitude A. The initial conditions are: x(0)v(0) = -3. 00 m/s. Solve for the position of the mass as afunction of time (you need to solve for w, 4, and A).= 2. 00 m andMz

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4) This Atwood's machine includes two blocks connected by a cable, going over a pulley without slipping. Block 1 (30.0 kg) is connected to a spring (70.0 N/m), and slides on a horizontal surface with a coefficient of kinetic friction of 0.0100. Block 2 is 50.0 kg, and hangs vertically from the cable. The pulley is a disk with a

4) This Atwood's machine includes two blocks connected by a cable, going over a pulley without slipping. Block 1 (30.0 kg) is connected to a spring (70.0 N/m), and slides on a horizontal surface with a coefficient of kinetic friction of 0.0100. Block 2 is 50.0 kg, and hangs vertically from the cable. The pulley is a disk with a

International Edition---engineering Mechanics: Statics, 4th Edition

4th Edition

ISBN:9781305501607

Author:Andrew Pytel And Jaan Kiusalaas

Publisher:Andrew Pytel And Jaan Kiusalaas

Chapter7: Dry Friction

Section: Chapter Questions

Problem 7.72P

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A 45° 7 Smooth Pulley B 77