Examine the circular motion apparatus. When you rotate the vertical axle at a un
ID: 1595488 • Letter: E
Question
Examine the circular motion apparatus. When you rotate the vertical axle at a uniform rate, the mass m1 rotates in a circle at constant speed. While rotating, the string connecting the rotating mass (m1) to the horizontal cross arm is VERTICAL. Your fingers are not in contact with the rotating mass while it is rotating and therefore you do not exert a force on m1.
Figure 2 Side and Top views of the Circular Motion apparatus while m is rotating Spring axle Spring Side view Top view a) Draw a free body diagram for the rotating mass (m1)while it is rotating in a circle of radius r with a constant speed v. Assume you are looking at the rotating mass mi from the side and its instantaneous velocity points out of the page (the "Side view" in Figure 2). Clearly indicate the center of the circular path. b) what physical force shown in your free body diagram keeps the rotating mass (m,) moving in a circle at constant speed? c) What variables does the magnitude of this force depend on?Explanation / Answer
b) The force Fsp ( force exerted by the spring ) provides the necessary centripital force required for the circular motion of the blocks
c) The magnitude of this force depends on
1. mass of the object
2. angular velocity of rotation
3. default length of the spring
4. it does not depend on the incremental change in the length of the spring due to the force as the incremental length change in the spring due to this force is actually dependent on the force by hooke's law
d. the force exerted on a rotating maqss is greatrer than the force exerted on a stationary mass as the rotaiton needs a centripital force and this is an extra force due to the rotatory motion which is being provided by the spring, hence the spring provinding the extra force in rotatory motion of the mass is applying more force then the spring applying more force on the stationar mass of same value
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