SHM

• New period:T, New energy:4E

• New period:T, New energy:2E

• New period:2T, New energy:4E

• New period:2T, New energy:2E

• $-x_0\cos\left(2π/T\right)t$

• $x_0\cos\left(2π/T\right)t$

• $-x_0\sin\left(2π/T\right)t$

• $x_0\sin\left(2π/T\right)t$

• $\left(2π/T\right)x_0$

• $\left(2π/T^2\right)x_0$

• $\left((4π^2)/T^2\right)x_0$

• $\left((4π^2)/T\right)x_0$

• $v=v_0\sin(2π/T)t$

• $v=v_0\sin(t/T)$

• $v=v_0\sinπTt$

• $v=v_0\sin(T/2π)t$

An object undergoes simple harmonic motion (shm) of amplitude x₀. When the displacement of the object is x₀/3, the speed of the object is v. What is the speed when the displacement is x₀?

• 0

• v/3

• $\sqrt{2}$ /3 v

• 3v

An object undergoing simple harmonic motion (SHM) has a period Tand total energy E. The amplitude of oscillations is halved. What are the new period and total energy of the system?

• Period:T/2 Energy:E/4

• Period:T/2 Energy:E/2

• Period:T Energy:E/4

• Period:T Energy:E/2

A spring loaded with mass moscillates with simple harmonic motion. The amplitude of the motion is Aand the spring has total energy E. What is the total energy of the spring when the mass is increased to 3mand the amplitude is increased to 2A?

• 2E

• 4E

• 12E

• 18E

• A

• B

• C

• D

• O only

• X and Y only

• O, X and Y

• Neither O, X nor Y

• A

• B

• C

• D