Problems 69 show a free-body diagram. For this:
a. Write a realistic dynamics problem for which this is the correct free-body diagram. Your problem should ask a question that can be answered with a value of position or velocity (such as “How far?” or “How fast?”), and should give sufficient information to allow a solution.
b. Solve your problem!
The speed of the assumed particle is
Consider a roller slides through a ramp of inclination angle .
The force acting on the sliding surface of the roller is
The force acting normal to the roller is
The weight of the roller is
Resolving forces in x-direction
Resolving forces in y-direction
Resultant force F is given by
To find the mass of the roller
To find the acceleration of the roller
To find the velocity of the roller we have
The velocity of the body is
You're driving along at with your aunt's valuable antiques in the back of your pickup truck when suddenly you see a giant hole in the road ahead of you. Fortunately, your foot is right beside the brake and your reaction time is zero!
a. Can you stop the truck before it falls into the hole?
b. If your answer to part a is yes, can you stop without the antiques sliding and being damaged? Their coefficients of friction are and .
Suppose you push a hockey puck of mass m across frictionless ice for 1.0 s, starting from rest, giving the puck speed v after traveling distance d. If you repeat the experiment with a puck of mass 2m, pushing with the same force, a. How long will you have to push for the puck to reach the same speed v?
b. How long will you have to push for the puck to travel the same distance d?
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