For this problem,
The solution is,
Does someone please know why ##N > 0##. I though at the min speed to still go around the loop, we could set ##N = 0## and ##mg## provides the centripetal force.
Also, I am wondering how to do this problem with using energy conservation.
My working is
## N +...
Homework Statement
The marble rolls down a track and around a loop-the-loop of radius R. The marble has mass m and radius r. What minimum height h must the track have for the marble to make it around the loop-the-loop without falling off? (Use any variable or symbol stated above along with the...
Homework Statement
A car of mass m is initially stationary on a smooth track at distance h above the ground. What would be the minimum value of h required in order for the car to remain on the track throughout its journey around the loop of radius r?
Homework Equations
KE(bottom)>PE (top)...
Homework Statement
The loop-the-loop machine has radius R of 18m
(a) What is the minimum speed at which a cart must travel so that it will safety loop the loop
(b) what will the speed at the top be in this case
Homework Equations
Centipetal force = m*v^2/r
Kinetic and potential energies =...
Through some of the conservation of energy problems we've been working recently with the loop the loop (ball rolls down ramp and around a circular track.) there is one concept that is irritating me. This is not a homework problem but a mash up of the driving concepts from a few different...
Homework Statement
Task: [/B]
On a friction free loop de loop, a object (m=600kg with passengers) moves with a velocity of vu = 120km/h at the lowest point of the loop. The loop has a radius of r=15m. The position of the object is given with the angle α.
Derive the formula for the velocity...
Question: If the Radius of the loop-the-loop is 10meters, from how high above the ground should the object be dropped in order to successfully complete the loop, with friction?
I attempted to solve it, but get the integral of cos(theta)dx, or more properly ds, and i do not know how to...
Homework Statement
In the normal loop the loop problem involving rotational energy where the marble goes down the hill and goes through a loop the loop, it asks for the minimum height of the hill to keep the marble on the track.
Homework Equations
But why does the normal force have to equal 0...
Hi,
i need to calculate the minimal velocity at point A to reach point B
Not asked to complete full loop, There is no friction.
I guess (mv^2)/2 = mg*2r >>> v = sqrt(4gr), my friend say v = sqrt(5gr)
Thanks.
Homework Statement
I have a hill with a roller coaster cart on it and it goes down and around a loop-the-loop
the radius of the loop is 10m
Diameter=20m
What is the minimum speed the cart needs to go to keep it on the track?
There is no friction, what is the height of the hill...
How fast must a plan fly in a loop-de-loop if the pilot experiences no force from either the seat or the safety belt when he is at the top of the loop?
I just need to be pointed in the right direction. Thanks in advance for your help.
Homework Statement
A mass m = 71 kg slides on a frictionless track that has a drop, followed by a loop-the-loop with radius R = 16.1 m and finally a flat straight section at the same height as the center of the loop (16.1 m off the ground). Since the mass would not make it around the loop if...
Homework Statement
At the top of the loop, we are in an upside down position, with our head being pointed towards the centre of the circle. As long as the ride is fast enough, it's impossible for us to fall out. But what happens if the ride slows down? if the rollercoaster slows down, the...
Homework Statement
A small block of mass m = 5kg slides along the frictionless loop-the-loop track shown in the figure. R = 2m
a) If it starts from rest at P, what is the resultant centripetal force acting on it at Q?
b) At what height from the bottom of the loop should the block be...
Was trying my hand at this Physics Puzzle! Got no idea how to start and where to start. Don't feel like this question has got anything to do with "Home work help".
Homework Statement
A car drives over a hill that is shaped as a circular arc with radius 65.0 m. The car has a constant speed of 14.0 m/s and a mass of 423 kg. What is the magnitude of (a) the centripetal force on the car at the top of the hill and (b) the normal force exerted on the car by...
Homework Statement
In this problem you will consider the motion of a cylinder of radius Rcyl that is rolled from a certain height h so that it "loops the loop," that is, rolls around the track with a loop of radius Rloop shown in the figure without losing contact with the track.
Unless...
Homework Statement
A cart of mass M = 500 kg going around a circular loop-the-loop of radius R = 15 m. Friction can be ignored. In order for the cart to negotiate the loop safely, the normal force exerted by the track on the cart at the top of the loop must be at least equal to 0.5 times the...
Homework Statement
The two problems below are related to a cart of mass M = 500 kg going around a circular loop-the-loop of radius R = 10 m, as shown in the figures. All surfaces are frictionless. In order for the cart to negotiate the loop safely, the normal force exerted by the track on the...
Homework Statement
So, this problem is about energy. The question is: what must the minimum height (in R) of a height be, for a ball to go down it, through a loop the loop (with radius R), and then through a rough surface 6R's long with u= 0.5.
Homework Equations
gravitational potential...
The two problems below are related to a cart of mass M = 500 kg going around a circular loop-the-loop of radius R = 11 m, as shown in the figures. All surfaces are frictionless. In order for the cart to negotiate the loop safely, the normal force exerted by the track on the cart at the top of...
Homework Statement
A pilot, whose mass is 78.0 kg, makes a loop-the-loop in a fast jet. Assume that the jet maintains a constant speed of 105 m/s and that the radius of the loop-the-loop is 0.562 km. What is the apparent weight that the pilot feels (i.e., the force with which the pilot presses...
[SOLVED] Riding a Loop the Loop (velocity at the bottom of the loop)
Homework Statement
A car in an amusement park ride rolls without friction around the track shown in the figure. It starts from rest at point A at a height h above the bottom of the loop. Treat the car as a particle...
[SOLVED] Loop the Loop
1. Homework Statement
A block slides on the frictionless loop the lopp track shown in this img, what is the min height at which it can start from rest and still make it around the loop
The Attempt at a Solution
I haev solved this problem TWO ways, and i can't...
Homework Statement
The two problems below are related to a cart of mass M = 500 kg going around a circular loop-the-loop of radius R = 7 m, as shown in the figures. Assume that friction can be ignored. Also assume that, in order for the cart to negotiate the loop safely, the normal force...
A 3.0 kg block starts at rest and slides a distance d down a frictionless 32.0° incline, where it runs into a spring. The block slides an additional 24.0 cm before it is brought to rest momentarily by compressing the spring, whose spring constant is 439 N/m. What is the value of d...
A small spherical ball of radius r = 1.7 cm rolls without slipping down a ramp and around a loop-the-loop of radius R = 3.1 m. The ball has mass M = 345 g.
How high above the top of the loop must it be released in order that the ball just makes it around the loop?
Repeat problem (a) for a...
Loop the Loop problem help.
The Problem says that there is a little car going at an initial speed of 4 m/s while entering a vertical loop the loop. Then all it wants is the largest possible radius of the loop that the car can still remain on the track at all times.
I don't understand, the...
Compared to an object that does not roll, but instead slides without friction, should a rolling object be released from the same,a greater, or a lesser height in order just barely to complete the loop the loop?
A The rolling object should be released from a greater height.
B The...