10). The cyclist shown in the figure below enters a vertical loop of radius r 15...
3. Suppose Alice constructs a road that has the shape of a vertical, circular loop with radius R 2m To be clear, by vertical loop it is meant that gravity points downwards as shown in the figure. Alice wants to drive her motorcycle around the loop such that at all times her motorcycle remains in contact with the road. a) What is the inim speed that Alice needs to travel at such that she does not fall when she is...
A rollercoaster cart with a mass of 11 kg is travelling around a vertical loop (circle) with a radius of 8 meters. At the top, it's traveling at the minimum speed needed so that it remains in contact with the track. If at some short time later it is at the side of the loop (halfway between the top and bottom), what is the normal force on the cart, in Newtons, if it loses 147 Joules of work to non-conservative...
The particle of mass m is released when the spring of stiffness K is compressed by a, and travels without friction around the vertical loop ABCD of radius r. Determine the force exerted by the loop on the particle at point B. Gravity acceleration is g. The particle of mass m is released when the spring of stiffness k is compressed by a, and travels without friction around the vertical loop ABCD of radius r. Determine the force exerted by...
Question 8 2 points Save A cyclist, riding a bicycle at an initial speed vo = 7.00 m/s, goes over a big bump on the road. The height of the bump is h = 2.00 m, and the top of the bump is circular, with a radius R = 4.00 m. The total mass the cyclist and bike is m = 80 kg. Neglecting friction and air resistance, and assuming that the cyclist is not pedaling, calculate: (a) the cyclist's...
The plot ofan airplane executes constant-speed loop-the-loop maneuver in vertical circle as in the figure below. The speed of the airplane is 2.40 × 102 m/s, and the radius of the circle s 3.05 × 103 m. (a) What is the pilot's apparent weight at the lowest point of the circle if his true weight is 740 N? (b) What is his apparent weight at the highest point of the circle? (c) Describe how the pilot could experience weightlessness if...
4) When sitting in a roller coaster going through a vertical loop of radius of 8.5 meters, your "ap- parent' weight is the normal force provided by the seat, while your "true" weight is the gravitational force (which is unluckily unchangeable at mg) a) How fast must you be moving at the top of the vertical loop to achieve weightlessness (i.e., to have no apparent weight)? b) If moving at the same speed on the bottom of the vertical loop,...
In 2013 skateboarder Tony Hawk setup a 360 degree "Loop of Death" with a radius of 2m and invited a few skateboarders to try making it all the way around the loop. Tony was the first to make it around the loop without falling. On one particular attempt, Tony'ys speed was 4.5 m/s at the top of the loop. Did Tony make it all the way around the loop on that attempt? Assume Friction and air resistance are negligible.
A jet pilot takes his aircraft in a vertical loop, as shown. If the jet is moving at a speed of 1140 km/h at the lowest point of the loop, determine the minimum radius of the circle so that the centripetal acceleration at the lowest point does not exceed 7.0 g's? Calculate the 69-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...
In 2014, Damian Walters demonstrated that he could run through a vertical loop (after a lot of failed attempts). What minimum running speed did he need to do it? Assume the loop has a radius of 1.96 m, that Damian's mass is 76.5 kg, that he stays in contact with the loop at all times, and (unrealistically) that you can neglect friction and drag forces. Also, keep in mind that it's Damian's center of mass that matters, which is approximately...
You are designing the section of a roller coaster ride shown in the figure. Previous sections of the ride give the train a speed of 16.1 m/s at the top of the incline, which is 37.1 m above the ground. As any good engineer would, you begin your design with safety in mind. Your local government's safety regulations state that the riders' centripetal acceleration should be no more than n 1.69 g at the top of the hump and no...