4. A pottery wheel of radius 20cm and mass M is freely rotating about an axis through its center at 87 rads/s. A blob of very dense clay of mass 5kg is gently placed on the spinning wheel halfway up its radius (i.e. 10cm from the axis of rotation). This causes the rate of rotation of the pottery wheel to drop to 7.8a rads/s. You can treat the pottery wheel as a uniform disk and the blob of clay as a point particle. The moment of inertia of a disk about an axis through its center is given by I = MR. (a) Write down expressions for the angular momentum of the system before and after the blob has been placed on the wheel. (b) Hence, find the mass M of the pottery wheel.

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Chapter1: Units, Trigonometry. And Vectors
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4. A pottery wheel of radius 20cm and mass M is freely rotating about an axis through
its center at 87 rads/s. A blob of very dense clay of mass 5kg is gently placed on
the spinning wheel halfway up its radius (i.e. 10cm from the axis of rotation). This
causes the rate of rotation of the pottery wheel to drop to 7.8a rads/s.
You can treat the pottery wheel as a uniform disk and the blob of clay as a point
particle. The moment of inertia of a disk about an axis through its center is given
by I = MR.
(a) Write down expressions for the angular momentum of the system before and
after the blob has been placed on the wheel.
(b) Hence, find the mass M of the pottery wheel.
Transcribed Image Text:4. A pottery wheel of radius 20cm and mass M is freely rotating about an axis through its center at 87 rads/s. A blob of very dense clay of mass 5kg is gently placed on the spinning wheel halfway up its radius (i.e. 10cm from the axis of rotation). This causes the rate of rotation of the pottery wheel to drop to 7.8a rads/s. You can treat the pottery wheel as a uniform disk and the blob of clay as a point particle. The moment of inertia of a disk about an axis through its center is given by I = MR. (a) Write down expressions for the angular momentum of the system before and after the blob has been placed on the wheel. (b) Hence, find the mass M of the pottery wheel.
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