Figure 10-43 shows particles 1 and 2, each of mass m, attached to the ends of a

Question

Figure 10-43 shows particles 1 and 2, each of mass m, attached to the ends of a rigid massless rod of length L1 + L2, with L1 = 0.80 m and L2 = 6.2 m. The rod is held horizontally on the fulcrum and then released. What are the magnitudes of the initial accelerations of (a) particle 1 and (b) particle 2?

Figure 10-43 shows particles 1 and 2, each of mass m, attached to the ends of a rigid massless rod of length L1 + L2, with L1 = 0.80 m and L2 = 6.2 m. The rod is held horizontally on the fulcrum and then released. What are the magnitudes of the initial accelerations of (a) particle 1 and (b) particle 2?

Explanation / Answer

net torque of the system abt fulcrum = mg(L2-L1)

=5.4mg;

now for the mass at 6.2 m distance I= mr2 =38.44m

acc of particle 2= r =r (/I )= 6.2(5.4mg/38.44m) =8.5442 m/s2

similarly for particle 1

acc = r = .8(5.4g/.64)= 66.2175 m/s2

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