**1. ** Assume the direction of acceleration of each block, e.g. *a*1 (*downward*) and *a*2 (*upward*) in this case.

**2. ** Locate the position of each block from a fixed point (depending on convenience), e.g. *centre of the pulley *in this case.

**3. ** *Identify the constraint *and write down the equation of constraint in terms of the distance assumed.

For example, in the chosen problem, *the length of string remains constant *is the constraint or restriction.

Thus,*x*1 + *x*2 = constant

Differentiating both the sides w.r.t. time, we get

Each term on the left side represents velocity of the block.

Since we have to find a relation between accelerations, therefore, we differentiate it once again w.r.t. time.

Thus

Since the block *m1 *is assumed to be moving downward (*x1 *is increasing with time)

, *a*1 > 0

and block *m*2 is assumed to be moving upward (*x*2 is decreasing with time)

, *a*2 > 0

Thus *a*1 - *a*2 = 0

or *a*1 = *a*2 = *a*

*Alternatively, *one can also assume the distance of each block from the ground as shown in the figure.

One can easily see that an expression for length of the string can not be written unless we locate the centre of the pulley w.r.t. ground.

If *y*0 be the distance of the ground from the centre of the pulley then the length of string is

(*y*0 -*y*1) + (*y*0 - *y*2) = constant

2*y*0 - *y*1 - *y*2 = constant

Differentiating twice w.r.t. time, we get

0 -

Now, and

Thus *a*1 - *a*2 = 0

*a*1 = *a*2 = *a*

Substituting *a*1 = *a*2 = *a *in equations (i) and (ii) and after solving them, we get

*a* =

also *T* =

**assignmenthelp.net** provides best Online assignment Help service in Physics for all standards. Our Tutor provide their high quality and optimized Tutorial help to fulfill all kind of need of Students.

**To Schedule a Constraint Relations tutoring session **

**To submit Constraint Relations assignment click here.**

Assignment Writing Help

- Science Assignment Help
- Math Assignment Help
- Chemistry Assignment Help
- Physics Assignment Help
- Biology Assignment Help
- Psychology Assignment Help
- History Assignment Help
- Geography Assignment Help
- English Assignment Help
- Humanities Assignment Help
- Nursing Assignment Help
- Social Science Assignment Help
- Arts and Architecture Help
- Statistics Assignment Help
- Law Assignment Help
- Computational Mathematics Assignment Help

Engineering Assignment Services

- Programming Assignment Help
- Database Help
- Data Structure Assignment Help
- Operating Systems Assignment Help
- Computer Network Assignment Help
- UML Diagram Assignment Help
- IT Assignment Help
- Game Programming Help
- Computer Science Assignment Help
- Information Systems Assignment Help
- Chemical Engineering Assignment Help
- Civil Engineering Assignment Help
- Electrical, Electronics Help
- Mechanical Engineering Assignment Help
- Petroleum Engineering Assignment Help
- Biochemical and Biotechnology Help

Do My Assignment Help

- Accounting Assignment Help
- Finance Assignment Help
- Economics Assignment Help
- Marketing Assignment Help
- Human Resources Assignment Help
- Operations Management Assignment Help
- Strategy and Planning Help
- Project Management Help
- Case Studies Writing Help
- Political science
- Referencing Help
- Assignment Help Websites
- Online Assignment Help
- Do My Assignment
- Do My Homework

Write My Essay Services

- Essay Writing Help
- Business Essay Writing Help
- Assignment Writing Services
- Plagiarism Free Essay Writing
- Essay Editing Service
- Dissertation Writing Services
- Thesis Writing Help
- Custom Writing Help
- Write My Essay
- Write My Paper
- Paper Writing Service
- Academic Writing Help
- College Essay Writing
- Cheap Essay Writing