Question

The box in Fig (a) has a mass m and travels down the smooth circular ramp such that when it i..the angle θ it has a speed v Determine its angular momentum about point O at this instant and the rate of increase in its speed, i.e., a How to solve using only kinematic equations? 

Answer 1

Angular momentum about point O at this instant and the rate of increase in its speed using only kinematic equations is a= gsinθ.

Angular momentum =I.W

=mr²*V/r

Angular momentum=mvr

F=ma

mgsinθ=m.a

a=gsinθ

The kinematic equations are a collection of equations that explain the motion of an object with constant acceleration. Kinematics is a branch of physics that originated in classical mechanics and describes the motion of points, bodies, and systems of things without taking the forces that propel them. Kinematics is the study of the motion of mechanical objects, bodies, and systems without consideration of their related physical qualities and the forces acting on them. Kinematics equations need understanding of derivatives, rate of change, and integrals. The discipline, often known as the geometry of motion, employs algebra to mathematically represent these movements.

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