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The physical condition for simple harmonic motion is/are
- a)presence of inertia
- b)restoring force must be proportional to displacement with negative sign
- c)potential energy must be fed from outside initially
- d)existence of point of stable equilibrium
Correct answer is option 'A,B,D'. Can you explain this answer?
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The physical condition for simple harmonic motion is/area)presence of ...
The correct answers are: restoring force must be proportional to displacement with negative sign, existence of point of stable equilibrium, presence of inertia
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Physical Conditions for Simple Harmonic Motion:
Simple harmonic motion (SHM) is a type of periodic motion where an object oscillates back and forth around a stable equilibrium position. It is characterized by certain physical conditions that must be met in order for an object to exhibit SHM. The correct options for these physical conditions are A, B, and D. Let's discuss each condition in detail:
A. Presence of Inertia:
Inertia is the property of matter that resists any change in its state of motion. For an object to exhibit simple harmonic motion, it must possess inertia. This means that the object must have mass and must not be at rest. Inertia allows the object to resist changes in its velocity, which is essential for the oscillatory motion associated with SHM.
B. Restoring Force Proportional to Displacement with Negative Sign:
The restoring force is the force that brings an oscillating object back to its equilibrium position. In simple harmonic motion, this restoring force must be directly proportional to the displacement of the object from its equilibrium position and in the opposite direction (negative sign). This means that as the object moves away from its equilibrium position, the restoring force increases and tries to bring the object back, causing it to oscillate around the equilibrium point.
C. Potential Energy Fed from Outside Initially:
This option is incorrect because simple harmonic motion does not require external energy input initially or continuously. In SHM, the potential energy is converted to kinetic energy and vice versa as the object oscillates. The total mechanical energy remains constant throughout the motion without the need for external energy input.
D. Existence of Point of Stable Equilibrium:
For an object to exhibit simple harmonic motion, it must have a stable equilibrium position. This means that when the object is at rest at its equilibrium position, it experiences no net force and is in a state of stable equilibrium. Any displacement from this point will result in a restoring force that brings the object back towards the equilibrium position, causing oscillatory motion.
To summarize, the physical conditions required for an object to exhibit simple harmonic motion are the presence of inertia, a restoring force that is proportional to displacement with a negative sign, and the existence of a point of stable equilibrium. These conditions ensure that the object can oscillate back and forth around its equilibrium position in a periodic and predictable manner.
Simple harmonic motion (SHM) is a type of periodic motion where an object oscillates back and forth around a stable equilibrium position. It is characterized by certain physical conditions that must be met in order for an object to exhibit SHM. The correct options for these physical conditions are A, B, and D. Let's discuss each condition in detail:
A. Presence of Inertia:
Inertia is the property of matter that resists any change in its state of motion. For an object to exhibit simple harmonic motion, it must possess inertia. This means that the object must have mass and must not be at rest. Inertia allows the object to resist changes in its velocity, which is essential for the oscillatory motion associated with SHM.
B. Restoring Force Proportional to Displacement with Negative Sign:
The restoring force is the force that brings an oscillating object back to its equilibrium position. In simple harmonic motion, this restoring force must be directly proportional to the displacement of the object from its equilibrium position and in the opposite direction (negative sign). This means that as the object moves away from its equilibrium position, the restoring force increases and tries to bring the object back, causing it to oscillate around the equilibrium point.
C. Potential Energy Fed from Outside Initially:
This option is incorrect because simple harmonic motion does not require external energy input initially or continuously. In SHM, the potential energy is converted to kinetic energy and vice versa as the object oscillates. The total mechanical energy remains constant throughout the motion without the need for external energy input.
D. Existence of Point of Stable Equilibrium:
For an object to exhibit simple harmonic motion, it must have a stable equilibrium position. This means that when the object is at rest at its equilibrium position, it experiences no net force and is in a state of stable equilibrium. Any displacement from this point will result in a restoring force that brings the object back towards the equilibrium position, causing oscillatory motion.
To summarize, the physical conditions required for an object to exhibit simple harmonic motion are the presence of inertia, a restoring force that is proportional to displacement with a negative sign, and the existence of a point of stable equilibrium. These conditions ensure that the object can oscillate back and forth around its equilibrium position in a periodic and predictable manner.
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The physical condition for simple harmonic motion is/area)presence of inertiab)restoring force must be proportional to displacement with negative signc)potential energy must be fed from outside initiallyd)existence of point of stable equilibriumCorrect answer is option 'A,B,D'. Can you explain this answer?
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