Shows a slender uniform rod with mass m and length l. it might be a baton held by a twirler in a marching band (without the rubber end caps). (a) use integration to compute its moment of inertia about an axis through o, at an arbitrary distance h from one end. (b) initially the rod is at rest. it is given a constant angular acceleration of magnitude α around the axis through o. find how much work is done on the rod in a time t. (c) at time t, what is the linear acceleration of the point on the rod farthest from the axis?

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.

b

explanation: