### Velocity and Acceleration of a Particle Moving With Simple Harmonic Motion

For Velocity and Acceleration of a Particle Moving With Simple Harmonic Motion (SHM), consider a particle, moving round the circumference of a circle of radius r, with a uniform angular velocity Ï‰ rad/s, as shown in Fig. 1.32. Let P be any position of the particle after t seconds and Î¸ be the angle turned by the particle in t seconds. We know that

Î¸ = Ï‰.t, and    x = rcosÎ¸ = rcosÏ‰t

The velocity of N (which is the projection of P on XX') is the component of the velocity of P parallel to XX'.

VN = v sinÎ¸ = Ï‰.rsinÎ¸

The velocity is maximum, when x = 0, i.e. when N passes through O (i.e. mean position).

vmax = Ï‰.r

The acceleration of N is the component of the acceleration of P parallel to XX' and is directed
towards the center O.

The acceleration is maximum, when x = r, i.e. when P is at X or X'.

### Are Engineers Favourite Among Girls?

What do girls think about men who are engineers and what type of engineers are most favourite among girls? A survey was conducted by a team of aboutmech with members chosen from different countries. Each team member carried out a neutral survey in his/ her country to evaluate what females think about most of the engineers from different engineering branches. An overview of different questions asked in survey is given below: Question: Which male engineers do you find more attractive as a husband? Almost 50% women voted for mechanical engineers to be the most attractive husbands among other engineers. So mechanical engineers are most favourite among girls as a husband. They find them more trustworthy, intelligent, and creative. A married women from California said, “If your husband is a mechanical engineer, he will help you in everyday tasks. Because mechanical engineers are good team players and they have creative ideas about everything.” Which male engineers do you find more