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9. On what two quantities does rotational inertia depend? 10. What is the effect

ID: 1836883 • Letter: 9

Question

9. On what two quantities does rotational inertia depend? 10. What is the effect of adding a weight to the end of a baseball bat used for practice swings? h will have the greater acceleration rolling down an incline-a large 11. Whic ball or a small ball? 12.How can a person vary his or her rotational inertia? 13. How and why do you throw a football so that it spins about its long axis when traveling through the air? 14. What is the mass of the rock shown in the figure? 04e 15. What is the mass of the meterstick shown in the figure? 16.A ruler is balanced with the fulcrum at the 50-cm mark as shown in the diagram. 50 a. If a 200-g mass is placed at the 20-cm mark (30 cm from the fulcrum), at what mark should a 500-g mass be placed so that the system balances? b. If a 1 b. Ita 100-g mass was placed at the 25-cm mark, and a 20-g mass at the 10-cm mark the stmmark, where should a 500-g mass be placed to balance the system?

Explanation / Answer

9. rotational inertia = m r^2

so it depends on mass and how far is mass from rotational axis.

12. Person can vary his inertia by folding his hands or Spreading his hands and leg.


13. throwing it by applying tangential force in other direction than throwing direction.

14.balancing moment about hinge point,

(100 - 50) * 1g = (50 - 25)mg

m = 2 kg

15.weigh force mg will act at centre point,

25 * 1g = (50-25)*mg

m = 1 kg

16. 30*200 = d * 500

d = 12 cm from falcrum to the oppisite side,

mark = 50 + 12 = 62 cm


b) (25 * 100) + (40 * 10)- (500 * d) = 0

d = 5.8 cm

mark = 55.8 cm

17. (a) due to 20N : 0.15 * 20 = 3 N m out of page

due to 15N: 0.25*15 = 3.75 N m into the page

due to 5N: 0.35 * 5 = 1.75 N m into the page

(b) Net torque = 3.75 + 1.75 - 3 = 2.5 N m into the page

c) 2.5 = 0.3 * F

F = 8.33 N

upward direction.