Answer the following questions using the D'Alembert's principle. Note that the mass of box Ais M1 and the mass of box Bis M2. 1. Find the tension in the rope, in tems of M1 and M2. 2. Calculate the acceleration of the wooden boxes, in tems of M1 and M2.

Elements Of Electromagnetics
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Author:Sadiku, Matthew N. O.
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Answer the following questions using the D'Alembert's principle. Note that the mass of box Ais M1 and
the mass of box Bis M2.
1. Find the tension in the rope, in tems of M1 and M2.
2. Calculate the acceleration of the wooden boxes, in tems of M1 and M2.
Transcribed Image Text:Answer the following questions using the D'Alembert's principle. Note that the mass of box Ais M1 and the mass of box Bis M2. 1. Find the tension in the rope, in tems of M1 and M2. 2. Calculate the acceleration of the wooden boxes, in tems of M1 and M2.
Expert Solution
Step 1

Consider the free body diagram shown below for the given system.

Mechanical Engineering homework question answer, step 1, image 1

Here, x is the displacement of the masses.

Step 2

(a)

The work done by the net force on block B is

Mechanical Engineering homework question answer, step 2, image 1

The work done by the inertial force on the block B is

Mechanical Engineering homework question answer, step 2, image 2

From the D’alembarts principle, the total virtual work done on the system must be zero.

Thus,

Mechanical Engineering homework question answer, step 2, image 3

Here “a” is the acceleration of the block B.

Mechanical Engineering homework question answer, step 2, image 4

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