Respuesta :
The angular momentum of the stick after collision will be 150 kg -m²-s. Option A is the correct.
What is torque?
Torque is the force's twisting action about the axis of rotation. Torque is the term used to describe the instant of force. It is the rotational equivalent of force.
The amount of torque is equal to force multiplied by the perpendicular distance between the point of application of force and the axis of rotation.
Total torque operating on the stick (in relation to the pivot at right) when all four forces are acting on it is found as;
[tex]\rm T_{total} = F_1 r_1 + F_2 r2 - F_3r_3 - F_4 r_4 \\\\\ T_{total} = F = (200 \times 0.5 ) + ( 100 \times 1.0 ) - ( 50 \times 1.5) - (25 \times 2.0) \\\\\ T_{total} = 75 N.m[/tex]
The initial angular momentum(Li) is given zero. The final angular momentum is found as the sum of the initial angular momentum and the product of total torque and the time period.
The final angular momentum is found as;
[tex]\rm L_f = L_i + T_{total}\times t\\\\ L_f = ( 0 + 75.0 \times 2.0)\\\\ L_f = 150 kg.m^2.s[/tex]
Hence, the angular momentum of the stick after collision will be 150 kg -m²-s.
To learn more about the torque, refer to the link;
brainly.com/question/6855614
#SPJ4
