Each of the gears a and b has a mass of 675 g and has a radius of gyration of 40 mm, while gear c has a mass of 3.6 kg and a radius of gyration of 100 mm. assume that kinetic friction in the bearings of gears a, b, and c produces couples of constant magnitude 0.15 n·m, 0.15 n·m, and 0.3 n·m, respectively. knowing that the initial angular velocity of gear c is 2000 rpm, determine the time required for the system to come to rest.

force is based upon mass and acceleration.the statement is not always true.

it can be explained from newton's second law of motion.

as per newton's second law of motion the rate of change of momentum is directly proportional to the applied force and takes place along the direction of force.

mathematically it can be written as -

                                              ⇒      

here   k is the proportionality constant whose value is 1.

                                                            [a is the acceleration=dv/dt]

hence we see that force not only depends on mass and acceleration but also on velocity and rate of change of mass. force f will depend on mass and acceleration only when mass is constant.

hence the statement that force is based upon mass and acceleration is false.

at right angles to each other