Dynamics Quiz

What is the SI unit of force?

• Second

• Newton

• Meter

• Kilogram

What is the period of a pendulum proportional to?

• Mass of the pendulum

• Initial speed of the pendulum

• Length of the pendulum

• Acceleration due to gravity

What is the correct equation for the dimensions of acceleration?

• [acceleration] = [length/time]

• [acceleration] = [length^2/time]

• [acceleration] = [length/time^2]

• [acceleration] = [length^2/time^2]

What is the condition for an inertial frame of reference?

• No acceleration

• No external forces acting

• No motion

• No friction

What is the general solution for simple harmonic motion?

• x = Asin(ωt) + Bcos(ωt)

• x = Acos(ωt) + Bsin(ωt)

• x = Aexp(ωt) + Bexp(-ωt)

• x = Alog(ωt) + Blog(ωt)

What is the formula for the amplitude of Simple Harmonic Motion (SHM)?

• C) B = √(A^2 - C^2)

• B) A = √(C^2 - B^2)

• D) C = A + B

• A) C = √(A^2 + B^2)

What is the condition for a stable equilibrium position in a potential energy function?

• B) V''(x) > 0

• D) V(x) = 0

• A) V'(x) = 0

• C) V'(x) < 0

What is the frequency of a simple pendulum with length l in a gravitational field?

• D) ω = √(l/g)

• C) ω = l/g

• B) ω = g/l

• A) ω = √(g/l)

What type of roots does the characteristic equation have in the case of small damping?

• D) No roots

• A) Complex roots

• C) Repeated real roots

• B) Distinct real roots

What is the equation of motion for a damped vibration system with damping constant Λ and spring constant K?

• A) m ̈u = mg - K(u + mg/K) - Λ ̇u

• B) m ̈u = mg - K(u - mg/K) + Λ ̇u

• C) m ̈u = mg - K(u - mg/K) - Λ ̇u

• D) m ̈u = mg - K(u + mg/K) + Λ ̇u