What is the correct speed to keep the cylinder at rest?

In summary, a puck of mass 1.00 kg attached to a cylinder of mass 3.70 kg by a cord is sliding in a circle of radius 17.0 cm on a frictionless table. The question asks for the speed that will keep the cylinder at rest. The correct answer is 0.785 m/s, as calculated using the equations F=ma and a=v^2/r. The incorrect answer of 0.785 m/s was likely due to mistaking the radius of 17 cm for 1.7 cm.
  • #1
J-dizzal
394
6

Homework Statement


A puck of mass m = 1.00 kg slides in a circle of radius r = 17.0 cm on a frictionless table while attached to a hanging cylinder of mass M = 3.70 kg by a cord through a hole in the table. What speed keeps the cylinder at rest?

http://edugen.wileyplus.com/edugen/courses/crs7165/art/qb/qu/c06/q55.jpg
[/B]

Homework Equations


F=ma, a=v2/r[/B]

The Attempt at a Solution


I don't see why 0.785m/s is incorrect. thanks.[/B]
http://i1164.photobucket.com/albums/q562/falsovero/20150630_150006_zpsk3vkjyjj.jpg
 
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  • #2
The radius is 17 cm, not 1.7 cm.
 
  • #3
thanks, what an elementary mistake.
 

1. What is force and motion?

Force and motion is a fundamental concept in physics that describes how an object's motion is affected by the application of force. Force is a push or a pull that can cause an object to accelerate or change direction.

2. How are force and motion related?

Force and motion are directly related, as force is what causes an object to move or change its motion. According to Newton's laws of motion, an object will remain at rest or continue moving at a constant velocity unless acted upon by an external force.

3. What are some examples of force and motion in everyday life?

Some examples of force and motion in everyday life include pushing a shopping cart, kicking a soccer ball, or riding a bicycle. Even simple actions like walking or opening a door involve the application of force and result in motion.

4. What is the difference between speed and velocity in terms of force and motion?

Speed is a measure of how fast an object is moving, while velocity is a measure of an object's speed and direction of motion. In terms of force and motion, velocity takes into account the direction of the force acting on an object, while speed does not.

5. How do we calculate force and motion?

Force and motion can be calculated using Newton's second law, which states that force equals mass times acceleration (F=ma). This means that the greater the force applied to an object, the greater the acceleration will be. Additionally, the amount of force needed to cause a specific amount of motion can also be calculated using this equation.

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