A toy shop owner is designing a display for his store window. mear He would like a snowman on a sled to travel in a circular path of radius d on an icy (frictionless) surface. To make this happen, he attaches a string to the sled, passes the string through the center of a vertical pole, and anchors the other end of the string to a teddy bear, a distance L from the pole, on a different level. He will give the sled a little push to get it m started traveling at a constant speed v. Since he might want to sell the bear later, he will not glue it down and has to rely on the friction between the bear and the surface, which has a coefficient of static friction µ. If the mass of the snowman and sled combined is m, what is the minimum mass of the bear mpear for which this motion is possible? Express your answer in terms of m, L, d, u, v, and g (the acceleration due to gravity). mbear 2

A toy shop owner is designing a display for his store window. mear He would like a snowman on a sled to travel in a circular path of radius d on an icy (frictionless) surface. To make this happen, he attaches a string to the sled, passes the string through the center of a vertical pole, and anchors the other end of the string to a teddy bear, a distance L from the pole, on a different level. He will give the sled a little push to get it m started traveling at a constant speed v. Since he might want to sell the bear later, he will not glue it down and has to rely on the friction between the bear and the surface, which has a coefficient of static friction µ. If the mass of the snowman and sled combined is m, what is the minimum mass of the bear mpear for which this motion is possible? Express your answer in terms of m, L, d, u, v, and g (the acceleration due to gravity). mbear 2

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter4: Motion In Two And Three Dimensions

Section: Chapter Questions

Problem 63P: A fairground ride spins its occupants inside a flying saucer-shaped container. If the horizontal...

See similar textbooks

Similar questions

A jet pilot takes his aircraft in a vertical loop , if the jet is moving at a speed of 1140 km/m , at the lowest point of the loop , determine the minimum radius (r) of the circle , so that the centripetal acceleration at the lowest point doesn't exceed 6.4 g's and also calculate the 70 kg pilot's effective weight ( The force with which the seat pushes up on him ) at the bottom of the circle , and at the top of the circle ( assume the same speed ) FNbottom , FNtop ?
A 0.35kg ball is attached to a rope in a horizontal circle of radius 85cm. If the rope can withstand a maximum tension of 1500N, what is the speed that the ball can travel in this circle without breaking the rope?
In order to simulate weightlessness for astronauts in training, they are flwon in a vertical circle. If the passengers are to experience weightlessness, how fast should an airplane be moving at the top of a vertical circle with a radius of 3.0 km?
A cruise ship of mass, m, is navigating around a circular path of radius, r, at a constant velocity of v. The centripetal force acting on the cruise ship is Fc. If the ship's velocity is tripled, what is the new centripetal force required for the ship to navigate on the circular path?
A fairground ride spins its occupants inside a flying saucer-shaped container. If the horizontal circular path the riders follow has an 6.00 m radius, at how many revolutions per minute will the riders be subjected to a centripetal acceleration whose magnitude is 2.6 times that due to gravity?
pls help me answer thank u In a test of "g"-suit, a volunteer is rotated in a horizontal circle of radius 6.3 m. What is the period of rotation at which the centripetal acceleration has a magnitude of a.) 2.5g b.) 10g?
There is a designed leg shaped machine to spin astronauts in a horizontal circle with a radius of 10 m. If the astronauts are to experience 5 g centripetal acceleration, how fast should they be moving?
A child with mass 27.5 kg rides on a carnival Ferris wheel that takes him around a verical circular loop with a radius of 21.0m every 29.5 seconds (his speed is constant). What is the magnitude of the net for (in N) on the child at the highes point of the trajectory? Round the answer to 2 decimal places.
Answer the follwing questions The bobsled track at the 1994 Olympics contained turn with radii of 33 m. Find the centripetal acceleration at the turn for a speed of 340 cm/sec. What is the maximum speed at which a car can safely negotiate an unbanked turn with radius of 60 m in icy weather, where the coefficient of static friction is 0.10? An 8 kg block initially at rest is pulled to the right along a horizontal surface whose coefficient of friction 0.1by a constant force of 34 N. Find the speed of the block after it has moved 2 m.
What is the smallest radius R about which an automobile can turnwithout skidding at 100 km/h if μ = 0.75 (a typical value)?
Mr. M is now racing on a track that looks like the description in the picture. He laps around this inverted cone so that on this surface, his car travels in circles parallel to the ground. If the fastest his car can go around this track without any friction is 34.0 m/s, what distance,"d", should he race his car at?
An airplane pilot experiences the sensation of zero gravity when passing through the top of a circular pirouette. If its speed is 200 m / s at this moment, what is the radius of the circle?