Using the energy conservation, derive
the expressions for the minimum speeds
at different locations along a vertical
circular motion controlled by gravity.
Is zero speed possible at the uppermost
point? Under what condition/s? Also
prove that the difference between the
extreme tensions (or normal forces)
depends only upon the weight of the
object.
Answers
By using the energy conservation, the critical or minimum speeds will be expressed as vcritical = √rg. Further parts are explained below.
Explanation:
Energy conservation refers to the effort made in order to minimize the consumption of energy by utilizing less of it.
By using the energy conservation, the critical or minimum speeds will be expressed as vcritical = √rg. At this point, the tension or normal force becomes zero at different locations along with the circular motion that is controlled by the gravity.
Yes, at the uppermost point, the zero speed is possible in the trajectory. The vertical velocity becomes zero under the conditions, where velocity direction completely stays horizontal and the acceleration remains downwards because of the gravity. Hence, the angle we get is called π/2.
It is also proved that the differences among the speed of extreme tensions stays very low. On the contrary, the normal force does not stay low as it all depends only on the object's weight.
Know more:
1. A particle of mass m just complete the vertical circular motion derive the expression for difference in tension at highest and lowest point
https://brainly.in/question/8462670
2. What is the difference between normal force and tension force
https://brainly.in/question/1274660
Explanation:
full explanation of chapter 1 question no. 4
