Physics Exam  >  Physics Questions  >  A solid sphere of mass 2kg and radius 2m is r... Start Learning for Free
A solid sphere of mass 2kg and radius 2m is rotated about its diameter with angular velocity 2rad/s.find the force exerted by one half of the sphere on the other half?
Most Upvoted Answer
A solid sphere of mass 2kg and radius 2m is rotated about its diameter...
A solid sphere of mass 2kg and radius 2m is rotated about its diameter with angular velocity 2rad/s. Find the force exerted by one half of the sphere on the other half?

To find the force exerted by one half of the sphere on the other half, we can analyze the rotational motion of the sphere and make use of Newton's second law of motion.

Step 1: Calculate the moment of inertia of the sphere
The moment of inertia of a solid sphere rotating about its diameter is given by:
I = (2/5) * m * r^2
where m is the mass of the sphere and r is the radius.
Substituting the given values, we get:
I = (2/5) * 2kg * (2m)^2
I = (2/5) * 2kg * 4m^2
I = 16/5 kg*m^2

Step 2: Calculate the torque exerted on the sphere
The torque exerted on the sphere is given by:
τ = I * α
where τ is the torque, I is the moment of inertia, and α is the angular acceleration.
Since the sphere is rotating at a constant angular velocity, the angular acceleration is zero.
Therefore, the torque exerted on the sphere is also zero.

Step 3: Apply Newton's second law of motion
According to Newton's second law of motion, the net force acting on an object is equal to the product of its mass and acceleration.
Since the torque exerted on the sphere is zero, there is no angular acceleration, and hence no net force acting on the sphere.

Therefore, the force exerted by one half of the sphere on the other half is zero.

Conclusion:
The force exerted by one half of the sphere on the other half is zero. This is because the sphere is rotating at a constant angular velocity, and there is no angular acceleration or net force acting on the sphere.
Explore Courses for Physics exam
A solid sphere of mass 2kg and radius 2m is rotated about its diameter with angular velocity 2rad/s.find the force exerted by one half of the sphere on the other half?
Question Description
A solid sphere of mass 2kg and radius 2m is rotated about its diameter with angular velocity 2rad/s.find the force exerted by one half of the sphere on the other half? for Physics 2024 is part of Physics preparation. The Question and answers have been prepared according to the Physics exam syllabus. Information about A solid sphere of mass 2kg and radius 2m is rotated about its diameter with angular velocity 2rad/s.find the force exerted by one half of the sphere on the other half? covers all topics & solutions for Physics 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A solid sphere of mass 2kg and radius 2m is rotated about its diameter with angular velocity 2rad/s.find the force exerted by one half of the sphere on the other half?.
Solutions for A solid sphere of mass 2kg and radius 2m is rotated about its diameter with angular velocity 2rad/s.find the force exerted by one half of the sphere on the other half? in English & in Hindi are available as part of our courses for Physics. Download more important topics, notes, lectures and mock test series for Physics Exam by signing up for free.
Here you can find the meaning of A solid sphere of mass 2kg and radius 2m is rotated about its diameter with angular velocity 2rad/s.find the force exerted by one half of the sphere on the other half? defined & explained in the simplest way possible. Besides giving the explanation of A solid sphere of mass 2kg and radius 2m is rotated about its diameter with angular velocity 2rad/s.find the force exerted by one half of the sphere on the other half?, a detailed solution for A solid sphere of mass 2kg and radius 2m is rotated about its diameter with angular velocity 2rad/s.find the force exerted by one half of the sphere on the other half? has been provided alongside types of A solid sphere of mass 2kg and radius 2m is rotated about its diameter with angular velocity 2rad/s.find the force exerted by one half of the sphere on the other half? theory, EduRev gives you an ample number of questions to practice A solid sphere of mass 2kg and radius 2m is rotated about its diameter with angular velocity 2rad/s.find the force exerted by one half of the sphere on the other half? tests, examples and also practice Physics tests.
Explore Courses for Physics exam
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev