# Since the speed of the bob is constant this is a

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Since the speed of the bob is constant, this is a relatively simple kinematics problem. You know the speed, whichyou found in the previous part, and you can calculate the distance traveled in one revolution (i.e., the\texttip{r}{r}=L {\sin}\left({\theta}\right)\texttip{a}{a}=\large{\frac{v^{2}}{L {\sin}\left({\theta}\right)}}\texttip{F_{\rm r}}{F_r}=m g {\tan}\left({\theta}\right)\texttip{v}{v}=\large{\frac{L {\sin}\left({\theta}\right)}{\sqrt{\frac{L {\cos}\left({\theta}\right)}{g}}}}
2/21/16, 10:31 AMHomework 4: Applying Newton's Lawscircumference of the circle). From these two you can calculate the time required to travel that distance.ANSWER:CorrectVideo Tutor: Ball Fired Upward from Moving CartFirst,launch the videobelow. You will be asked to use your knowledge of physics to predict the outcome of an experiment.Then, close the video window and answer the questions at right. You can watch the video again at any point.Part AThe crew of a cargo plane wishes to drop a crate of supplies on a target below. To hit the target, when should the crewdrop the crate? Ignore air resistance.Hint 1.How to approach the problemWhile the crate is on the plane, it shares the plane's velocity. What is the crate's velocityimmediatelyafter it isreleased?Hint 2.What affects the motion of the crate?\large{\frac{2{\pi}L {\sin}\left({\theta}\right)}{\sqrt{gL {\tan}\left({\theta}\right){\sin}\left({\theta}\right)}}}
2/21/16, 10:31 AMHomework 4: Applying Newton's LawsPage 35 of 44CorrectAt the moment it is released, the crate shares the plane's horizontal velocity. In the absence of air resistance, thecrate would remain directly below the plane as it fell.Enhanced EOC: Exercise 5.39A large crate with massmrests on a horizontal floor. The static and kinetic coefficients of friction between the crate and thefloor are\mu _{\rm{s}}and\mu _{\rm{k}}, respectively. A woman pushes downward on the crate at an angle\thetabelow thehorizontal with a force\vec FYou may want to review (page ) .For help with math skills, you may want to review:Vector ComponentsLimits Involving InfinityFor general problem-solving tips and strategies for this topic, you may want to view a Video Tutor Solution ofMinimizingkinetic friction..

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