Moderate

Two springs of spring constant k1 and K2 are joined in series. The effective spring constant of combination is given by:

Correct answer: C. K1k2/ (k1 + k2)

  • A. (k1 +k2)/2
  • B. K1+ K2
  • C. K1k2/ (k1 + k2)
  • D. βˆšπ‘˜1π‘˜2

Explanation

When springs are connected in series, the effective spring constant (keff ) can be found using the formula:1/keff =1/k1 +1/k2where k1 and k2 are the spring constants of the individual springs.keff = K1k2/ (k1 + k2)

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About Simple Harmonic Motion

Simple harmonic motion is oscillation in which acceleration is directly proportional to displacement and directed toward the equilibrium position. Work includes displacement, velocity, acceleration, phase, period, frequency, amplitude and energy, with applications to springs and simple pendulums. The restoring force and the conditions for SHM distinguish it from general periodic motion.

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