Draw vectors representing the forces acting on the small sphere and the acceleration of the sphere when the pendulum rod is vertical. draw the vectors starting at the sphere. the location and orientation of the vectors will be graded.

Explanation:

When the pendulum rod is vertical, let t be the tension in the rod, m be the mass of small sphere and g be the acceleration due to gravity.

The force of tension T be acts on the sphere which is in upward direction and the weight of the small sphere is acting vertically downwards.

As the small sphere is in equilibrium condition, the tension in the rod is balanced by the weight of the small sphere.

T = mg

Tension acting upwards and mg acts vertically downwards as acceleration due to gravity acts vertically downwards.

given data:

determine the horse power (h.p) = ?

force applied to move the box(f) = 10 pounds,

box lifted from a distance         (d) = 3 feet

time taken to lift                         (t) = 10 sec,

the horse power is defined as amount of work required to move a load. the horse power is equal to 550 foot-pound per second

                  1 h.p   = 550 foot-pound/second

it can also be defined as the the load that need to be move a body for certain distance in a certain amount of time.

mathematically,

                      h.p = (force × distance)/ time

                            = (10 × 3)/ 10

                            = 30/10

                            = 3 foot -pound/sec

hence, the horse power is needed to move the box is 3 foot-pound/second

important note: 1 h.p = 550 foot-pound/second = 746 watts