Answer:
(4.5125 * 10^-3 kg.m^2)ω_A^2
Explanation:
solution:
Moments of inertia:
I = mk^2
Gear A: I_A = (1)(0.030 m)^2 = 0.9*10^-3 kg.m^2
Gear B: I_B = (4)(0.075 m)^2 = 22.5*10^-3 kg.m^2
Gear C: I_C = (9)(0.100 m)^2 = 90*10^-3 kg.m^2
Let r_A be the radius of gear A, r_1 the outer radius of gear B, r_2 the inner radius of gear B, and r_C the radius of gear C.
r_A=50 mm
r_1 =100 mm
r_2 =50 mm
r_C=150 mm
At the contact point between gears A and B,
r_1*ω_b = r_A*ω_A
ω_b = r_A/r_1*ω_A
= 0.5ω_A
At the contact point between gear B and C.
At the contact point between gears A and B,
r_C*ω_C = r_2*ω_B
ω_C = r_2/r_C*ω_B
= 0.1667ω_A
kinetic energy T = 1/2*I_A*ω_A^2+1/2*I_B*ω_B^2+1/2*I_C*ω_C^2
=(4.5125 * 10^-3 kg.m^2)ω_A^2
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If ceramic vessels are typed together based as they were all used as storage containers, in spite of the fact that design elements indicate they are from different time periods, then they have to be functional typeoperational typesystematic type is given below
Explanation:
The Batiscan site, excavated in the 1960s, produced one of the largest Vinette I collections known to date. Revisiting this ceramic assemblage has revealed more heterogeneity than is generally recognized within the Vinette I type of pottery. Indeed, variations from the typological definition exist, both within and between Early Woodland ceramic collections. A number of diagnostic traits, such as the presence of exterior and interior cord impressions and the absence of decoration, are challenged by the present study. It is hypothesized that part of this variability is chronological, and that the vessels from Batiscan were manufactured closer to the end of the Early Woodland period. However, other factors, such as the frequency and scale of production, and the possible exchange and circulation of ceramic containers, must also be taken into account when interpreting Vinette I variability.l
