Oscillations Physics - Oscillations

Four pendulums A, B, C and D are suspended from the same elastic support as shown in Fig A and C are of the same length, while B is smaller than A and D is larger than A. If A is given a transverse displacement,

• A
  D will vibrate with maximum amplitude.
• ✓
  C will vibrate with maximum amplitude.
• C
  B will vibrate with maximum amplitude.
• D
  All the four will oscillate with equal amplitude.

Answer: B.

• A
  $A$ and $B$
• ✓
  $A$ and $C$
• C
  $B$ and $C$
• D
  $A$ and $D$

Answer: B.

• A
  $A$ and $D$
• B
  $A$ and $B$
• ✓
  $A$ and $C$
• D
  $C$ and $D$

Answer: C.

• A
  Simple harmonic with period $2\frac{\text{P}}{\text{w}}.$
• ✓
  Simple harmonic with period $\frac{\pi}{\omega}.$
• C
  Periodic but not simple harmonic.
• D
  Non-periodic.

Answer: B.

When a mass in is connected individually to two springs $S_1$ and $S_2$, the oscillation frequencies are $V_1$ and $V_2$. If the same mass is attached to the two springs as shown in figure, the oscillation frequency would be:

• ✓
  $\text{v}_1+\text{v}_2$
• B
  $\sqrt{\text{v}_1^2+\text{v}_2^2}$
• C
  $\Big(\frac{1}{\text{v}_1}+\frac{1}{\text{v}_2}\Big)^{-1}$
• D
  $\sqrt{\text{v}_1^2-\text{v}_2^2}$

Answer: A.