The starting angle θθ of a pendulum does not affect its period for θ<<1θ<<1. At higher angles, however, the period TT increases with increasing θθ.
The relation between TT and θθ can be derived by solving the equation of motion of the simple pendulum (from F=ma)
−gsinθ=lθ¨−gainθ=lθ¨
For small angles, θ≪1,θ≪1, and hence sinθ≈θsinθ≈θ. Hence,
θ¨=−glθθ¨=−glθ
This second-order differential equation can be solved to get θ=θ0cos(ωt),ω=gl−−√θ=θ0cos(ωt),ω=gl. The period is thus T=2πω=2πlg−−√T=2πω=2πlg, which is independent of the starting angle θ0θ0.
For large angles, however, the above derivation is invalid. Without going into the derivation, the general expression of the period is T=2πlg−−√(1+θ2016+...)T=2πlg(1+θ0216+...). At large angles, the θ2016θ0216 term starts to grow big and cause
Answer:
3000 kg meter per sec
Explanation:
Momentum of an object refers the motion of an object. Momentum depends upon mass and velocity both.
Formula to calculate the momentum of any object is,
Momentum = Mass × Velocity
By substituting values of mass and velocity of the shark from the question,
Momentum of shark = 200 × 15
= 3000 kg meter per second
Therefore, shark weighing 200 kg has the momentum as 3000 kg meter per seconds.
Explanation:
Resting potential is the static membrane potential of the dormant cells. It is opposite of the action potential or the graded membrane potential. Na+/K+ ATPase pumps helps offset the ion diffusion through leak channels on neurons and helps return the membrane potential to its resting voltage.
