I need help with 16 and 17 I keep getting them wrong. ds 1 kg 2m 1.5 m 15. Three

Question

I need help with 16 and 17 I keep getting them wrong.

ds 1 kg 2m 1.5 m 15. Three point masses above are connected by massless rods as in the picture above. What is the rotational inertia of the system around the 3 kg mass? 1.1 kg m .13 kg m c. 11.4 kg md. none of these o 16. A 20 N force is applied perpendicular to the rod on the 2kg mass on the end. It rotates around the 3 kg mass. What is the resulting angular acceleration? a. 2.3 rad/s 632 ra/s c. 4.7 rad/s d. 5.9 rad/s e. none of these 17. How fast will the system be going after 10 s if it started from rest? a. 23 rad/s 2 rad/s c. 47 rad/s d. 59 rad's e. none of these Mund its center of mass. What is its

Explanation / Answer

15) total moment of inertia I = 1*1.5^2 + 2*1.2^2;

I = 5.13 Kg-m2.

16) torque T = 20* 1.2 = 24 N;

The torque on a given axis is the product of the moment of inertia and the angular acceleration;

torque = (moment of inertia)*(angular acceleration);

angular acceleration (a) = 24/5.13 = 4.67 m/s^2.

17) w = wo + at;

w = 0 + 4.67*10;

w = 46.7 rad/s.

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