AT&T; LTE 1:41 PM 33%. \" Two vectors are given by A 3i6 j and B1j. (a) Find . i

Question

AT&T; LTE 1:41 PM 33%. " Two vectors are given by A 3i6 j and B1j. (a) Find . i. (b) Find the angle between A and . Need Help? L A light, rigid rod of length 1.00 m joins two particles, with masses m1 4.00 kg and m2 3.00 kg, at its ends. The combination rotates in the xy plane about a pivot through the center of the rod (see figure below). Determine the angular momentum of the system about the origin when the speed of each particle is 6.80 m/s. dinection Need Help? A 1.20-kg particle moves in the xy plane with a velocity of (3.90 i- 3.70 j) m/s. Determine the angular momentum of the particle about the origin when its position vector isi-(1.50 ? + 2.20 j) m. ) kg m2/s A counterweight of mass m- 4.80 kg is attached to a light cord that is wound around a pulley as shown in the figure below. The pulley is a thin hoop of radius R 7.00 cm and mass M-2.30 kg. The spokes have negligible mass.

Explanation / Answer

5)

L=1m, R=L/2=0.5 m

m1=4 kg, m2=3 kg

v=6.80 m/s

angular momentum=L=J?, where ?=v/R and

J=J1+J2=m1*R²+m2*R²=(m1+m2)R² ==>

L=(m1+m2)R²v/R

= (m1+m2)Rv

= (4+3)*0.5*6.8

= 23.8 kg·m²/s

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