657_Dynamics 11ed Manual

657_Dynamics 11ed Manual - originally spinning about the z...

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Engineering Mechanics - Dynamics Chapter 19 Problem 19-39 A man has a moment of inertia I z about the z axis. He is originally at rest and standing on a small platform which can turn freely. If he is handed a wheel which is rotating at angular velocity ω and has a moment of inertia I about its spinning axis, determine his angular velocity if (a) he holds the wheel upright as shown, (b) turns the wheel out θ = 90 ° , and (c) turns the wheel downward, = 180 ° . Solution: a () 0 I ω + I z M I + = M 0 = b () 0 I + I z M 0 + = M I I z ω = c () 0 I + I z M I = M 2 I I z = * Problem 19-40 The space satellite has mass m ss and moment of inertia I z , excluding the four solar panels A,B,C, and D . Each solar panel has mass m p and can be approximated as a thin plate.If the satellite is
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Unformatted text preview: originally spinning about the z axis at aconstant rate z , when = 90, determine the rate of spin if all the panels are raised and reach the upward position, = 0, at the same instsnt. Given: m ss 125 kg = a 0.2 m = z 0.5 rad s = I z 0.940 kg m 2 = b 0.75 m = m sp 20 kg = c 0.2 m = Solution: Guess z2 1 rad s = Given I z 4 m sp 12 b 2 c 2 + ( ) m sp a b 2 + 2 + + z I z 4 m sp 12 c 2 m sp a 2 + + z2 = z2 Find z2 ( ) = z2 3.56 rad s = 655...
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