You can check your spam folder or bin as u might have deleted it

Hey,

Forced and free vibrations are two concepts in the study of mechanical systems and oscillations:

1. Free Vibrations:

(a) Free vibrations occur when a system is allowed to oscillate on its own without any external force acting upon it after an initial disturbance.

(b) The oscillation happens at the natural frequency of the system, which is determined by its mass, stiffness, and damping properties.

(c) Examples of free vibrations include a pendulum swinging or a guitar string vibrating after being plucked.

2. Forced Vibrations:

(a) Forced vibrations occur when a system is subjected to an external force or excitation.

(b) The external force imposes a driving frequency on the system, which may or may not match its natural frequency.

(c) If the driving frequency matches the natural frequency, resonance can occur, resulting in large amplitude vibrations.

(d) Examples of forced vibrations include a car's suspension system responding to road bumps or a building swaying in response to wind or an earthquake.

In summary, free vibrations occur naturally without any external influence, while forced vibrations are induced by external forces acting on the system.

Hope this helps you.

Greeting!

The fees for hotel management courses can vary, but on average, it can range from 1 to 3 lakhs Indian Rupees per year. For B.Com, the fees may be similar. Doing both simultaneously might increase the overall cost. Regarding salaries, it depends on your job role and experience. Entry-level positions in hotel management may offer salaries starting from 2 to 4 lakhs per annum. Completing B.Com and hotel management can open up diverse career opportunities, potentially leading to higher salaries as you gain experience. Keep in mind that these figures are approximate, and actual amounts may vary based on the specific college and job market conditions.

Yes, there are several platforms that offer free online courses for postgraduate studies. Some of these platforms are:

1. Coursera
2. edX
3. MIT
4. Khan Academy
5. FutureLearn
6. Open Yale Courses

Keep in mind that while these resources can provide valuable knowledge and skills, they may not always offer formal postgraduate qualifications. Additionally, if you're looking for accredited programs or specific qualifications, you might need to explore other options that may involve some costs.