# Physics Assignment Help With Constraint Relations

## How to determine Constraint Relation

**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* =

### Homework Help For Constraint Relations

**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.**

Physics Assignment Help | Physics tutors | Online tutors | Physics Homework help | Online tutoring term paper help | Assignment help | Physics projects | Physics tutorial | Physics questions | physics problems | Physics online help | Science physics | Physics tutor | high school physics | Homework tutor | science help | physics experiments | Online Tutoring | Physics tutors | Homework tutoring

- 24 x 7 Availability.
- Plagiarism Free.
- Trained and Certified Experts.
- Deadline Guaranteed.
- Privacy Guaranteed.
- Assignment Help Reward
- Online help for all project.
- Service for everyone
- Online Tutoring
- Free download.
- Whitepaper.

- Assignment Help
- Homework Help
- Writing Help
- Academic Writing Assistance
- Editing Services
- Plagiarism Checker Online
- Proofreading
- Research Writing Help