At an amusement park, a car of mass m rolls without friction around a track as...
At an amusement park, a car of mass m rolls without friction around a track as shown. The car starts from rest at point A, a height h = 3R above the bottom of the loop (R is the radius of the loop). Treat the car as a point-like particle. (a) Draw the free body diagram for the car and find the car’s kinetic energy and normal force acting on the car at the top of the loop (point B). Ans: (b) Draw the free body diagram for the car and find the car’s kinetic energy and normal force acting on the car at the bottom of the loop (point D). Ans: (c) Draw the free body diagram for the car and find the car’s kinetic energy and normal force acting on the car at the point C, which is at the end of a horizontal diameter. Ans: (d) Find the force that the car exerts on the loop at point C. Ans: (e) Compute the tangential and radial (centripetal) components of the car’s acceleration at point C. Ans: (f) What is the minimum value of h (in terms of R) such that the car moves around the loop without falling off at the top (point B)?
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At an amusement park, a car of mass m rolls without friction
around a track as...
A car in an amusement park ride rolls without friction around a track (Figure 1). The...
A car in an amusement park ride rolls without friction around a
track (Figure 1). The car starts from rest at point A at a height h
above the bottom of the loop. Treat the car as a particle.
Figure 1:
PART A:
What is the minimum value of h (in terms of R) such that the car
moves around the loop without falling off at the top (point B)?
PART B:
If the car starts at height h= 4.30...
A car in an amusement park roller coaster ride rolls without friction at the top of...
A car in an amusement park roller coaster ride rolls without friction at the top of a hill. The car begins at a height h from the top of a hill. A the bottom, the car then goes through a vertical loop where the car is upside down at the loop\'s top. If the radius of the loop is 20.0m, what is the minimum height h such that the car moves around the loop without falling off the track at...
A roller coaster car of mass 800 kg when released from rest at point A (height...
A roller coaster car of mass 800 kg when released from rest at
point A (height h above the ground) slides along the track and
inside the loop of radius 16.0 m. The car never loses contact with
the track.
A) Draw below a free body diagram for the car the car at the top
of the loop.
B) If the normal force acting on the car at the top is 1500 N,
what is the speed of the car...
As a car drives with its tires rolling freely without any slippage, the type of friction...
As a car drives with its tires rolling freely without any slippage, the type of friction acting between the tires and the road is A) static friction. B) kinetic friction. C) a combination of static and kinetic friction. D) neither static nor kinetic friction but some other type of friction. E) It is impossible to tell what type of friction acts in this situation. A car of mass m goes around a banked curve of radius r with speed v....
Problem 2 A 1 kg block slides down a ramp and then around a circular loop...
Problem 2 A 1 kg block slides down a ramp and then around a circular loop of radius 11 m, as shown in diagram below. Considering there is no friction, find the minimum height of the ramp so that block makes all the way around the loop without falling. Write the expression for initial energy of the system ii) Write the expression for energy of the system at the top of the loop. lii) Draw Free body diagram at the...
90 m (15 points) A roller coaster ride at an amusement park lifts a car of...
90 m (15 points) A roller coaster ride at an amusement park lifts a car of mass 700 kg to point A at a height of 90 m above the lowest point on the track, as shown above. The car starts from rest at point A. rolls with negligible friction down the incline and follows the track around a loop of radius 20 m. Point B. the highest point on the loop, is at a height of 50 m above...
Problem 4. A solid sphere of mass m and radius r rolls without slipping along the...
Problem 4. A solid sphere of mass m and radius r rolls without slipping along the track shown below. It starts from rest with the lowest point of the sphere at height h 3R above the bottom of the loop of radius R, much larger than r. Point P is on the track and it is R above the bottom of the loop. The moment of inertia of the ball about an axis through its center is I-2/S mr. The...
A roller coaster car of mass 800 kg when released from rest at point A (height...
A roller coaster car of mass 800 kg when released from rest at
point A (height h above the ground) slides along the track and
inside the loop of radius 16.0 m. The car never loses contact with
the track.
A) Draw below a free body diagram for the car the car at the top
of the loop.
B) If the normal force acting on the car at the top is 1500 N,
what is the speed of the car...
Problem 4. A solid sphere of mass m and radius rrolls without slipping along the track...
Problem 4. A solid sphere of mass m and radius rrolls without slipping along the track shown below. It starts from rest with the lowest point of the sphere at height 3R above the bottom of the loop of radius R, much larger than r. Point P is on the track and it is R above the bottom of the loop. The moment of inertia of the ball about an axis through its center is I-2/5 mr. The ball should...
A marble rolls around with no friction in a circular loop that has a radius of...
A marble rolls around with no friction in a circular loop that has a radius of 40 cm. At the bottom of the loop, the speed is 7 m/s. A. Calculate the marble's centripetal acceleration and the angular speed when the marble is at the bottom of the loop. B. Using conservation of energy, determine the speed of the marble at the top of the loop. C. Calculate the magnitude of the centripetal acceleration and the angular speed of the...
A car in an amusement park ride rolls without friction around a
track (Figure 1). The car starts from rest at point A at a height h
above the bottom of the loop. Treat the car as a particle.
Figure 1:
PART A:
What is the minimum value of h (in terms of R) such that the car
moves around the loop without falling off at the top (point B)?
PART B:
If the car starts at height h= 4.30...
A roller coaster car of mass 800 kg when released from rest at
point A (height h above the ground) slides along the track and
inside the loop of radius 16.0 m. The car never loses contact with
the track.
A) Draw below a free body diagram for the car the car at the top
of the loop.
B) If the normal force acting on the car at the top is 1500 N,
what is the speed of the car...
As a car drives with its tires rolling freely without any slippage, the type of friction acting between the tires and the road is A) static friction. B) kinetic friction. C) a combination of static and kinetic friction. D) neither static nor kinetic friction but some other type of friction. E) It is impossible to tell what type of friction acts in this situation. A car of mass m goes around a banked curve of radius r with speed v....
Problem 2 A 1 kg block slides down a ramp and then around a circular loop of radius 11 m, as shown in diagram below. Considering there is no friction, find the minimum height of the ramp so that block makes all the way around the loop without falling. Write the expression for initial energy of the system ii) Write the expression for energy of the system at the top of the loop. lii) Draw Free body diagram at the...
90 m (15 points) A roller coaster ride at an amusement park lifts a car of mass 700 kg to point A at a height of 90 m above the lowest point on the track, as shown above. The car starts from rest at point A. rolls with negligible friction down the incline and follows the track around a loop of radius 20 m. Point B. the highest point on the loop, is at a height of 50 m above...
Problem 4. A solid sphere of mass m and radius r rolls without slipping along the track shown below. It starts from rest with the lowest point of the sphere at height h 3R above the bottom of the loop of radius R, much larger than r. Point P is on the track and it is R above the bottom of the loop. The moment of inertia of the ball about an axis through its center is I-2/S mr. The...
A roller coaster car of mass 800 kg when released from rest at
point A (height h above the ground) slides along the track and
inside the loop of radius 16.0 m. The car never loses contact with
the track.
A) Draw below a free body diagram for the car the car at the top
of the loop.
B) If the normal force acting on the car at the top is 1500 N,
what is the speed of the car...
Problem 4. A solid sphere of mass m and radius rrolls without slipping along the track shown below. It starts from rest with the lowest point of the sphere at height 3R above the bottom of the loop of radius R, much larger than r. Point P is on the track and it is R above the bottom of the loop. The moment of inertia of the ball about an axis through its center is I-2/5 mr. The ball should...
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