(a) Find the maximum speed that the0.120 kg object attains. (b) Select the state

Question

(a) Find the maximum speed that the0.120 kg object attains.

(b) Select the statements that are nottrue. While the smaller object is gainingspeed, it moves with constant acceleration.
The smaller object does not move withconstant tangential acceleration.
The trebuchet moves with constantangular acceleration.
The trebuchet maintains constantmomentum.
The trebuchet-Earth system has constantmechanical energy. While the smaller object is gainingspeed, it moves with constant acceleration.
The smaller object does not move withconstant tangential acceleration.
The trebuchet moves with constantangular acceleration.
The trebuchet maintains constantmomentum.
The trebuchet-Earth system has constantmechanical energy.

Explanation / Answer

The radius of larger mass circular path r1 = 0.13 m The radius of the smaller mass m2 is r2 = 3.40 m - 0.13 m = 3.27 m The initial kinetic and potential energies are zero. According to conservation of mechanical energy we have            KEf + PEf = 0            0.5(I12 +I22) + (m2gr2 -m1gr1) = 0    .........1 The whole system looks like dumble so that we can write themoment of inertia as        I1 =m1r21 and   I2 = m2r22 Substituting in eq 1 and solving for , weget                            = ( 2(I1 -I2) / ( I1r1 +I2r2) ) Substitute values. m2 =59.0 kg m1= 0.120kg r1 = 0.13 m r2 = 3.27m r2 = 3.27m

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