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NEET Exam  >  NEET Tests  >  Test: Velocity and Acceleration in Simple Harmonic Motion (September 25) - NEET MCQ

Test: Velocity and Acceleration in Simple Harmonic Motion (September 25) - NEET MCQ


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9 Questions MCQ Test - Test: Velocity and Acceleration in Simple Harmonic Motion (September 25)

Test: Velocity and Acceleration in Simple Harmonic Motion (September 25) for NEET 2024 is part of NEET preparation. The Test: Velocity and Acceleration in Simple Harmonic Motion (September 25) questions and answers have been prepared according to the NEET exam syllabus.The Test: Velocity and Acceleration in Simple Harmonic Motion (September 25) MCQs are made for NEET 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Velocity and Acceleration in Simple Harmonic Motion (September 25) below.
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Test: Velocity and Acceleration in Simple Harmonic Motion (September 25) - Question 1
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What type of motion is observed when a stone is tied to the end of a string and moved with a constant angular speed in a horizontal plane about a fixed point?

Detailed Solution for Test: Velocity and Acceleration in Simple Harmonic Motion (September 25) - Question 1
When a stone is tied to the end of a string and moved with a constant angular speed in a horizontal plane about a fixed point, it exhibits uniform circular motion. This means the stone moves in a circular path at a constant speed.
Test: Velocity and Acceleration in Simple Harmonic Motion (September 25) - Question 2
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What type of motion is exhibited by the projection of a particle undergoing uniform circular motion when viewed along the diameter of the circle?

Detailed Solution for Test: Velocity and Acceleration in Simple Harmonic Motion (September 25) - Question 2
The projection of a particle undergoing uniform circular motion, when viewed along the diameter of the circle, exhibits simple harmonic motion (SHM). In SHM, the particle oscillates back and forth along a straight line.
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Test: Velocity and Acceleration in Simple Harmonic Motion (September 25) - Question 3
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In the equation for the position vector of the projection of a particle undergoing uniform circular motion, what does 'A' represent?

Detailed Solution for Test: Velocity and Acceleration in Simple Harmonic Motion (September 25) - Question 3
In the equation x(t) = A cos(?t + ?) representing the position vector of the projection of a particle undergoing uniform circular motion, 'A' represents the amplitude of the simple harmonic motion along the diameter of the circle.
Test: Velocity and Acceleration in Simple Harmonic Motion (September 25) - Question 4
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If two particles, A and B, execute simple harmonic motion with equations XA = A sin(ωt) and XB = A sin(ωt + π/3), after what time will they meet for the first time?
Detailed Solution for Test: Velocity and Acceleration in Simple Harmonic Motion (September 25) - Question 4

To find the time when particles A and B meet for the first time, we observe that they meet when A is in the first quadrant and B is in the fourth quadrant. They both rotate at the same angular speed, so the time taken is given by t = π/6ω.

Test: Velocity and Acceleration in Simple Harmonic Motion (September 25) - Question 5
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In simple harmonic motion, when do two particles have the same velocity for the first time?
Detailed Solution for Test: Velocity and Acceleration in Simple Harmonic Motion (September 25) - Question 5
Two particles in simple harmonic motion have the same velocity for the first time when they are in the same quadrant. At this point, their velocities are in the same direction.
Test: Velocity and Acceleration in Simple Harmonic Motion (September 25) - Question 6
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In simple harmonic motion, if two particles have equal magnitudes of displacement from the mean position, what can be said about their directions of displacement?
Detailed Solution for Test: Velocity and Acceleration in Simple Harmonic Motion (September 25) - Question 6
When two particles in simple harmonic motion have equal magnitudes of displacement from the mean position, their directions of displacement are in opposite directions.
Test: Velocity and Acceleration in Simple Harmonic Motion (September 25) - Question 7
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What is the angle moved by a particle in simple harmonic motion when it meets another particle that is moving at the same angular speed?
Detailed Solution for Test: Velocity and Acceleration in Simple Harmonic Motion (September 25) - Question 7

The angle moved by a particle in simple harmonic motion when it meets another particle moving at the same angular speed is ?/6 radians.

Test: Velocity and Acceleration in Simple Harmonic Motion (September 25) - Question 8
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What type of motion is the projection of uniform circular motion along the diameter of the circle?
Detailed Solution for Test: Velocity and Acceleration in Simple Harmonic Motion (September 25) - Question 8
The projection of uniform circular motion along the diameter of the circle exhibits simple harmonic motion (SHM).
Test: Velocity and Acceleration in Simple Harmonic Motion (September 25) - Question 9
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In simple harmonic motion, what quantity remains constant throughout the motion?
Detailed Solution for Test: Velocity and Acceleration in Simple Harmonic Motion (September 25) - Question 9
In simple harmonic motion, the total mechanical energy (the sum of kinetic and potential energy) remains constant throughout the motion. This is due to the conservative nature of the restoring force in SHM.
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