丙-動力學 - ~*~gg~*~ ~JS1T ~:L~Jl ~ t~.Jcfw 1 If you...

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~~~~*~gg~~~~±*~±~~~ ~JS1T: ~~.:L~~~~~Jl *-# ~ t~~#..::.J{ 1. If you know the acceleration a of a point P in straight-line motion as a function of time, i.e. art), but have no other information, you can't determine the position and velocity of P as functions of time. Why not? (5%) 2. If the tangential component of the total force on an object is constant, what do you know about the work done as the object moves a given distance along its path? (5%) 3. The 30 lb weight is released from rest with the spring (k A =30 lbl ft , k B =15lb 1ft) unstretched (Figure 3). (a) How far does the weight fall before rebounding? (b) What maximum velocity does it attain? (20%) Figure 3 4. The combined mass of the motorcycle and rider is 160 kg. The motorcycle starts from rest at t = 0 and moves along a circular track with a 400 m radius (Figure 4). The tangential component of acceleration of the motorcycle as a function of time is at=2+0.2t ml s2. The coefficient of static friction between the tires and track is ,us =0.8.
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