📘 classical mechanics

1. **Problem statement:** We have a wedge of mass $\lambda m$ inclined at angle $\alpha$ with a particle $A$ of mass $m$ on it. The wedge accelerates with acceleration $F$ along $\

1. **Problem statement:** A small bead slides without friction on a circular hoop of radius $0.100$ m, rotating at $4.00$ revolutions per second about a vertical diameter. (a) Find

1. The problem is to understand the motion of a particle under a constant force, such as gravity, which causes constant acceleration. 2. The fundamental formula used is Newton's se

1. **Problem statement:** A hollow sphere of mass $m_1 = m$ and radius $R$ rests on a frictionless horizontal surface. Inside it, a solid sphere of mass $m_2 = \frac{32}{7}m$ and r

1. **Problem Statement:** A particle of mass $2m$ is projected horizontally with velocity $u$ along the smooth inner surface of a cone with semi-vertical angle $\alpha$, vertex dow

1. **State the problem:** A particle moves in the horizontal plane with coordinates given by $$x=2t$$ and $$y=-\frac{t^2}{2} + 8$$. 2. **Find the trajectory equation:** From $$x=2t

**Problem 16** 1. The problem gives the particle position as functions of time:

1. প্রথমে হ্যামিলটনের অ্যাকশন ফাংশন ($S$) এবং হ্যামিলটিয়ান ($H$) নিয়ে কাজ শুরু করি। হ্যামিলটনের নীতিতে অ্যাকশন মিনিমাইজ করা হয় এবং এটি থেকে গতির সমীকরণ পাওয়া যায়। 2. হ্যামিলটি