7 An Atwood's system consists of two pulleys and two loads withequal masses m. The first pulley, fixed to the ceiling, comprisestwo cylinders with radii r and R (firmly connected as one body).The first load is suspended with a rope wrapped over the smallercylinder of the first pulley. The second pulley can roll on a rope2.RYwrapped over the larger cylinder of the first pulley at one end, andfixed to the ceiling at the other end. The second load is suspendedat the axis of the second pulley. Assume the ropes are massless,inextensible and have no slip over the pulleys, and pulleys areXmтmassless with no friction. Find acceleration of each load.

First, we write the equation of motion for both the masses.

An Atwood's system consists of two pulleys and two loads with equal masses m. The first pulley, fixed to the ceiling, comprises two cylinders with radii r and R (firmly connected as one body). The first load is suspended with a rope wrapped over the smaller cylinder of the first pulley. The second pulley can roll on a rope wrapped over the larger cylinder of the first pulley at one end, and fixed to the ceiling at the other end. The second load is suspended at the axis of the second pulley. Assume the ropes are massless, inextensible and have no slip over the pulleys, and pulleys are R Y X m m massless with no friction. Find acceleration of each load.

An Atwood's system consists of two pulleys and two loads with equal masses m. The first pulley, fixed to the ceiling, comprises two cylinders with radii r and R (firmly connected as one body). The first load is suspended with a rope wrapped over the smaller cylinder of the first pulley. The second pulley can roll on a rope wrapped over the larger cylinder of the first pulley at one end, and fixed to the ceiling at the other end. The second load is suspended at the axis of the second pulley. Assume the ropes are massless, inextensible and have no slip over the pulleys, and pulleys are R Y X m m massless with no friction. Find acceleration of each load.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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