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A trolley is falling freely on an inclined plane of angle of inclination theta. the angle of string of pendulum with ceiling of trolley is equal to.1. Theta2. 90-theta3.904.0
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A trolley is falling freely on an inclined plane of angle of inclinati...
Explanation:

When the trolley is falling freely on an inclined plane of angle of inclination theta, the angle of the string of pendulum with ceiling of trolley can be determined as follows:

Step 1: Draw a diagram of the situation to visualize it better.

Step 2: Identify the forces acting on the trolley and the pendulum. The forces acting on the trolley are the weight and the normal force, whereas the force acting on the pendulum is tension.

Step 3: Note that the angle between the string of the pendulum and the ceiling of the trolley is equal to the angle between the trolley and the vertical direction. This is because the string of the pendulum is always perpendicular to the ceiling of the trolley.

Step 4: Determine the angle between the trolley and the vertical direction. This angle is equal to 90 degrees minus the angle of inclination of the inclined plane, or 90 - theta.

Step 5: Therefore, the angle between the string of the pendulum and the ceiling of the trolley is also 90 - theta.

Answer:

The angle of the string of the pendulum with the ceiling of the trolley is 90 - theta.
Community Answer
A trolley is falling freely on an inclined plane of angle of inclinati...
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Attempt All sub parts from each question.Galileo’s Isochronous Pendulum: Galileo observed a lamp swinging from ceiling at Pisa cathedral ceiling. He was the first scientist to observe how long it took any object suspended from a rope or chain (a pendulum) to swing back and forth. There were no wrist watches at that time, so Galileo used his own pulse as a time measurement. Galileo observed that no matter how big the swings were, as in when the lamp was first swung, to how small the swings were as the lamp returned to a standstill, the time it took for each swing to complete was exactly the same. So, he concluded that the oscillations are isochronous. Anyhow, it was proved by advanced experimentation that the isochronism of simple pendulum is correct within 1% under the 30° of amplitude. It is confirmed that the period changes less than 1% until the amplitude is 30°. On the other hand, the period increased by more than 10% when the amplitude became larger than 80°. At the end of his life he devised a scheme for using a pendulum to regulate a mechanical clock. However, the first reliable pendulum clock was only demonstrated by Huygens 15 years after Galileo's death.Q. Galileo observed that the time period of the pendulum

Attempt All sub parts from each question.Galileo’s Isochronous Pendulum: Galileo observed a lamp swinging from ceiling at Pisa cathedral ceiling. He was the first scientist to observe how long it took any object suspended from a rope or chain (a pendulum) to swing back and forth. There were no wrist watches at that time, so Galileo used his own pulse as a time measurement. Galileo observed that no matter how big the swings were, as in when the lamp was first swung, to how small the swings were as the lamp returned to a standstill, the time it took for each swing to complete was exactly the same. So, he concluded that the oscillations are isochronous. Anyhow, it was proved by advanced experimentation that the isochronism of simple pendulum is correct within 1% under the 30° of amplitude. It is confirmed that the period changes less than 1% until the amplitude is 30°. On the other hand, the period increased by more than 10% when the amplitude became larger than 80°. At the end of his life he devised a scheme for using a pendulum to regulate a mechanical clock. However, the first reliable pendulum clock was only demonstrated by Huygens 15 years after Galileo's death.Q. Isochronism of simple pendulum is within acceptable limit as long as the amplitude is under

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A trolley is falling freely on an inclined plane of angle of inclination theta. the angle of string of pendulum with ceiling of trolley is equal to.1. Theta2. 90-theta3.904.0
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A trolley is falling freely on an inclined plane of angle of inclination theta. the angle of string of pendulum with ceiling of trolley is equal to.1. Theta2. 90-theta3.904.0 for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about A trolley is falling freely on an inclined plane of angle of inclination theta. the angle of string of pendulum with ceiling of trolley is equal to.1. Theta2. 90-theta3.904.0 covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A trolley is falling freely on an inclined plane of angle of inclination theta. the angle of string of pendulum with ceiling of trolley is equal to.1. Theta2. 90-theta3.904.0.
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