You and your friends pull your car off a mountain road onto an overlook to take pictures of the frozen lake below. You lose your footing on the packed snow, fall over the cliff, and land in a soft snow bank on a ledge, 10 feet below the edge. The cliff's wall is too smooth to climb upwards and too steep and dangerous to climb the remaining 300 feet to the bottom. While trying to think your way out of your predicament, you realize one reason you had slipped was that you had misjudged how the cliff sloped towards the edge (a decline of about 5-10 degrees). There is nothing near the edge to which your friends can tie a rope, and they fear the footing is too slippery for them to pull you to the top. However, they can get the car close enough to the edge to tie the rope to the bumper and hang it over the edge. You are worried, however, that the car might slip over the edge as well. On your phone (which has survived the fall) you look up the coefficient of static friction of snow tires on packed snow and find that it ranges from 0.225 to 0.260, and that the model of your friends' car weighs 3930 lbs. Your own weight fluctuates between 120-130 lbs. and the angle of slope (b) Assuming the worst-case scenario, should your friends bring the car close to the edge? (Find the maximum angle at which the car will not slide down the slope.) (a) What is the worst-case scenario in terms of the parameters given (what is the coefficient of static friction 0?) (c) Next, should you risk tying the rope to the trailer hitch and trying to climb out? (Determine the maximum allowable body weight the car can keep without sliding down the slope.) You assume the hitch is low enough to the ground so that the tension force is parallel to the slope near the edge of the cliff and that you climb up the rope at a constant velocity. (a): Number i (b) (c) 0: Number i Number i Number i Units Units Units Units
You and your friends pull your car off a mountain road onto an overlook to take pictures of the frozen lake below. You lose your footing on the packed snow, fall over the cliff, and land in a soft snow bank on a ledge, 10 feet below the edge. The cliff's wall is too smooth to climb upwards and too steep and dangerous to climb the remaining 300 feet to the bottom. While trying to think your way out of your predicament, you realize one reason you had slipped was that you had misjudged how the cliff sloped towards the edge (a decline of about 5-10 degrees). There is nothing near the edge to which your friends can tie a rope, and they fear the footing is too slippery for them to pull you to the top. However, they can get the car close enough to the edge to tie the rope to the bumper and hang it over the edge. You are worried, however, that the car might slip over the edge as well. On your phone (which has survived the fall) you look up the coefficient of static friction of snow tires on packed snow and find that it ranges from 0.225 to 0.260, and that the model of your friends' car weighs 3930 lbs. Your own weight fluctuates between 120-130 lbs. and the angle of slope (b) Assuming the worst-case scenario, should your friends bring the car close to the edge? (Find the maximum angle at which the car will not slide down the slope.) (a) What is the worst-case scenario in terms of the parameters given (what is the coefficient of static friction 0?) (c) Next, should you risk tying the rope to the trailer hitch and trying to climb out? (Determine the maximum allowable body weight the car can keep without sliding down the slope.) You assume the hitch is low enough to the ground so that the tension force is parallel to the slope near the edge of the cliff and that you climb up the rope at a constant velocity. (a): Number i (b) (c) 0: Number i Number i Number i Units Units Units Units
Related questions
Question
Transcribed Image Text:You and your friends pull your car off a mountain road onto an overlook to take pictures of the frozen lake below. You lose your footing
on the packed snow, fall over the cliff, and land in a soft snow bank on a ledge, 10 feet below the edge. The cliff's wall is too smooth to
climb upwards and too steep and dangerous to climb the remaining 300 feet to the bottom. While trying to think your way out of your
predicament, you realize one reason you had slipped was that you had misjudged how the cliff sloped towards the edge (a decline of
about 5-10 degrees). There is nothing near the edge to which your friends can tie a rope, and they fear the footing is too slippery for
them to pull you to the top. However, they can get the car close enough to the edge to tie the rope to the bumper and hang it over the
edge. You are worried, however, that the car might slip over the edge as well. On your phone (which has survived the fall) you look up
the coefficient of static friction of snow tires on packed snow and find that it ranges from 0.225 to 0.260, and that the model of your
friends' car weighs 3930 lbs. Your own weight fluctuates between 120 - 130 lbs.
and the angle of slope
(b) Assuming the worst-case scenario, should your friends bring the car close to the edge? (Find the maximum angle at which the car
will not slide down the slope.)
(a) What is the worst-case scenario in terms of the parameters given (what is the coefficient of static friction
0?)
(c) Next, should you risk tying the rope to the trailer hitch and trying to climb out? (Determine the maximum allowable body weight the
car can keep without sliding down the slope.)
You assume the hitch is low enough to the ground so that the tension force is parallel to the slope near the edge of the cliff and that you
climb up the rope at a constant velocity.
(a) : Number
(b)
(c)
0: Number
Number
i
i
i
Number i
Units
Units
Units
Units
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 5 steps
