A 4.4-cm-diameter, 24 g plastic ball is attached to a 1.2-m-long string and swung in a vertical circle. The ball’s speed is 6.1 m/s at the point where it is moving straight up. What is the magnitude of the net force on the ball? Air resistance is not negligible.
The Net force on the ball is = 0.7308 N
Ball diameter = 4.4-cm-diameter,
mass =24 g
String length = 1.2-m
v= 6.1 m/s
First draw a diagram as below
From the figure find the T as below
So the radius will be = 1.2m+2.2 cm = 1.222m
Centripetal force is given by
This force is equal to tension on the string
So the force is 0.7308 N
Communications satellites are placed in circular orbits where they stay directly over a fixed point on the equator as the earth rotates. These are called geosynchronous orbits. The altitude of a geosynchronous orbit is .
a. What is the period of a satellite in a geosynchronous orbit?
b. Find the value of g at this altitude.
c. What is the weight of asatellite in a geosynchronous orbit?
Suppose you swing a ball of mass m in a vertical circle on a string of length L. As you probably know from experience, there is a minimum angular velocity ωmin you must maintain if you want the ball to complete the full circle without the string going slack at the top. a. Find an expression for ωmin
b. Evaluate ωmin in rpm for a 65 g ball tied to a 1.0-m-long string.
The 10 mg bead in FIGURE P8.48 is free to slide on a frictionless wire loop. The loop rotates about a vertical axis with angular velocity ω. If ω is less than some critical value ωc the bead sits at the bottom of the spinning loop. When ω > ωc the bead moves out to some angle θ
An kg stunt plane performs a loop-the-loop, flying in a m-diameter vertical circle. At the point where the plane is flying straight down, its speed is and it is speeding up at a rate of per second.
a. What is the magnitude of the net force on the plane? You can neglect air resistance.
b. What angle does the net force make with the horizontal? Let an angle above horizontal be positive and an angle below horizontal be negative.
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