How to solve problems in mechanics...??

As we all are aware of how important mechanics is in physics, here are more tips to solve problems further. Though intensive practice is required in mechanics , it is essential to know how to solve the problems too….

Here are few ways to approach problems in mechanics…

In a PLANE :

1. Problems where there is a motion in a Two Dimensional Plane:

In such type of problems, do follow the below:

i. The very first step required is to select a coordinate system and resolve the velocity vector into its individual x and y components.  

ii. Next, find out the respective acceleration in each direction and solve according to the equation of rectilinear motion.

iii. Now, if you find acceleration only in vertical direction, follow the methods for solving constant-acceleration problems to analyze the vertical motion. The motion in x and y have the same time of flight t.

iv. If there is any problem relating to the trajectory, find the motions in x and y direction with respect to time from the previous point and from one equation, find the value of t and substitute that in another equation to find out the equation of the trajectory.

2. Problems which deal with Motion in a Three dimensional Plane :

i. To solve such problems, just select one coordinate system and resolve the velocity into x, y and z directions.

ii. The acceleration in each direction can be found out and solved according to the equation of rectilinear motion.

3. Problems which involve Uniform Circular Motion :

i. To approach any problem, the very first thing needed  to be done is to draw a neat diagram of the system.

ii. Next, consider all the forces and their origin on each object. Find out the forces acting on each object. Note down all the contact forces wherever there is a contact.

iii. Calculate the centripetal force required for the motion which is circular.

The velocity can be found accordingly with the centripetal force = mv2/R.