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My Calculated answers:

A1(a) R= 19.21∠68.7^{o}N

(b) E = 19.21∠-111.34^{o}N or = -19.21∠68.7^{o}N <--- Is't either one answer is correct or not? If not, which answer is correct and why? Thanks.

A2(b) I = 0.5mr^{2}= 1.125kgm^{2}

A2(a) k=(I/m)^{1/2}= 0.212m

A2(c) αt=ω, α = 3.14 rad/s^{2}

A2(d) T=Iα = 3.53Nm

I can't gain the answer of A2(a) first. I use the A2(b) answer to help me to gain the A2(a) answer. So, the step of my calculated order is A2(b) -> A2(a) -> A2(c) -> A2(d). Is't correct?

B1(a)(ii) R_{BY}= 1500N

sum of force and moment = 0

R_{A}= 1200N (toward left)

R_{BX}= 1200N (toward right)

B1(b) R_{BY}= 500N

R_{A}= 2012.4N (toward left)

R_{BX}= 1146.4N (toward right)

B2(a) KE = (0.5)(10)(100) = 500J

(b) PE = (10)(9.81)(147.8) = 14503.1J

(c) v^{2}= {[(500 + 14503.1)x2]/10}^{0.5}=54.8m/s

(d ) WD = 1.2(230) = 276J , v= {[(15003.1-276)x2]/10}^{0.5}= 54.3m/s

B3(a) n = 1/0.08 = 12.5Hz

(b) m = (0.08/2π)^{2}(20x10^{3}) = 3.24kg

(c) ω = 2π(12.5) = 78.5rad/s, v=78.54x0.01 = 0.785m/s

(d) f = 78.54^{2}(0.006) = 37.01m/s^{2}, T = 2π(0.006/37.01)^{0.5}= 0.08s

(e) I can't do this part, may you help me, please?

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All above my calculated ans. are correct or not? It there are something wrong, please don't hesitate to correct my answers and give some comment. Thanks a lot.

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# Problems of statics, angular motion and simple harmonic motion

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