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Four point masses are fastened to the corners of a frame of negligible mass lying in the xy plane. Let w be the angular speed of rotation. Then
                                    
  • a)
    Rotational kinetic energy associated with a given angular speed depends on the axis of rotation.
  • b)
    Rotational kinetic energy about y-axis is independent of m and its value is Ma2w2
  • c)
    Rotational kinetic energy about z-axis depends on m and its value is (Ma2 + mb2)w2
  • d)
     Rotational kinetic energy about z-axis is independent of m and its value is Mb2w2
Correct answer is option 'A,B,C'. Can you explain this answer?
Verified Answer
Four point masses are fastened to the corners of a frame of negligible...

Ix=2M(0)+2m(b2)=2mb2
KEx=(1/2)Ix ω2=mb2ω2
Iy=2M(a2)+2m(0)=2Ma2
KEy=(1/2)Iyω2=Ma2ω2
Iz=2M(a2)+2m(b2)=2(Ma2+mb2)
KEz=(1/2)Izω2=(Ma2+mb22
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Most Upvoted Answer
Four point masses are fastened to the corners of a frame of negligible...
The rotational kinetic energy is dependent on the moment of inertia which in turn depend on the axis of rotation. So, rotational kinetic energy depends on the axis of rotation.

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Community Answer
Four point masses are fastened to the corners of a frame of negligible...

Ix=2M(0)+2m(b2)=2mb2
KEx=(1/2)Ix ω2=mb2ω2
Iy=2M(a2)+2m(0)=2Ma2
KEy=(1/2)Iyω2=Ma2ω2
Iz=2M(a2)+2m(b2)=2(Ma2+mb2)
KEz=(1/2)Izω2=(Ma2+mb22
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Four point masses are fastened to the corners of a frame of negligible mass lying in the xy plane. Let w be the angular speed of rotation. Then a)Rotational kinetic energy associated with a given angular speed depends on the axis of rotation.b)Rotational kinetic energy about y-axis is independent of m and its value is Ma2w2c)Rotational kinetic energy about z-axis depends on m and its value is (Ma2+ mb2)w2d)Rotational kinetic energy about z-axis is independent of m and its value is Mb2w2Correct answer is option 'A,B,C'. Can you explain this answer?
Question Description
Four point masses are fastened to the corners of a frame of negligible mass lying in the xy plane. Let w be the angular speed of rotation. Then a)Rotational kinetic energy associated with a given angular speed depends on the axis of rotation.b)Rotational kinetic energy about y-axis is independent of m and its value is Ma2w2c)Rotational kinetic energy about z-axis depends on m and its value is (Ma2+ mb2)w2d)Rotational kinetic energy about z-axis is independent of m and its value is Mb2w2Correct answer is option 'A,B,C'. Can you explain this answer? 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 Four point masses are fastened to the corners of a frame of negligible mass lying in the xy plane. Let w be the angular speed of rotation. Then a)Rotational kinetic energy associated with a given angular speed depends on the axis of rotation.b)Rotational kinetic energy about y-axis is independent of m and its value is Ma2w2c)Rotational kinetic energy about z-axis depends on m and its value is (Ma2+ mb2)w2d)Rotational kinetic energy about z-axis is independent of m and its value is Mb2w2Correct answer is option 'A,B,C'. Can you explain this answer? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Four point masses are fastened to the corners of a frame of negligible mass lying in the xy plane. Let w be the angular speed of rotation. Then a)Rotational kinetic energy associated with a given angular speed depends on the axis of rotation.b)Rotational kinetic energy about y-axis is independent of m and its value is Ma2w2c)Rotational kinetic energy about z-axis depends on m and its value is (Ma2+ mb2)w2d)Rotational kinetic energy about z-axis is independent of m and its value is Mb2w2Correct answer is option 'A,B,C'. Can you explain this answer?.
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