An air puck of mass 0.29 kg is tied to a string and allowed to revolve in a circle of radius 1.2 m on a frictionless horizontal table. The other end of the string passes through a hole in the center of the table, and a mass of 0.7 kg is tied to it. The suspended mass remains in equilibrium while the puck on the tabletop revolves. (a) What is the tension in the string? N (b) What is the force causing the centripetal acceleration on the puck? (c) What is the speed of the puck? m/s

Multiple-Concept Example 7 deals with the concepts that are important in this problem. A penny is placed at the outer edge of a disk (radius= 0.183 m) that rotates about an axis perpendicular to the plane of the disk at its center. The period of the rotation is 1.87 s. Find the minimum coefficient of friction necessary to allow the penny to rotate along with the disk. Hs = Number i Units

H Review Multiple-Concept Example 7 to see the basic ideas underlying this problem. A stone has a mass of 7.98 g and is wedged into the tread of an automobile tire, as the drawing shows. The coefficient of static friction between the stone and each side of the tread channel is 0.979. When the tire surface is rotating at 11.1 m/s, the stone flies out of the tread. The magnitude FN of the normal force that each side of the tread channel exerts on the stone is 1.55 N. Assume that only static friction supplies the centripetal force, and determine the radius r of the tire (in terms of m). Number i 0.65 Type here to search 3 4 Units % 5 F5 m 6 Y F6 F7 & 7 7 Sides of tread channel 8 FN 9 48°F Mostly cloudy F10 s 17

The figure shows a 2.38-kg ball attached to one end of an ideal string of length L = 1.24 m. The string's other end is held fixed as the ball swings around a vertical circle from rest at point A where 0 = 30°. Find the magnitude of tension in the string at point B, assuming the string remains taut and there is no friction or air resistance. A v0 = 0 T = L 0 B V N

A puck of mass m1 is tied to a string and allowed to revolve in a circle of radius R on a frictionless, horizontal table. The other end of the string passes through a small hole in the center of the table, and an object of mass m2 is tied to it (as shown). The suspended object remains in equilibrium while the puck on the tabletop revolves. Find symbolic expressions for (a) the tension in the string, (b) the radial force acting on the puck, and (c) the speed of the puck. (d) Qualitatively describe what will happen in the motion of the puck if the value of m2 is increased by placing a small additional load on the puck. (e) Qualitatively describe what will happen in the motion of the puck if the value of m2 is instead decreased by removing a part of the hanging load.

e Calculate the centripetal force on the end of a 122-m (radius) wind turbine blade that is rotating at 0.5 rev/s. Assume the mass is 6 kg. F₁ = Question Help: Submit Question Read 1 Hint 1 Read 2

A weight of mass m1 = 45 kg slides at a constant speed v = 1 m/s in a circle of radius r = 0.65 m on a table as shown on the left. The force of friction is just enough to keep the weight from sliding in towards the center of the table. The weight is attached to a string which hangs down through a hole in the middle of the table; from the other end of the string hangs a cylinder of mass m2 = 17 kg. a) What is the minimum coefficient of friction needed to keep the hanging mass from moving downwards? b) What would be the maximum velocity the weight could have with that same coefficient of friction?

And don't worry about whether the passengers would actually survive the trip. They are lightweight crash test dummies. NTC A cart of mass m= 347 kg is going around a circular loop-the-loop. There is no motor. The cart moves only under the influence of gravity. Ignore friction and let g = 9.81 meters per second squared. The loop has a radius of r meters. When the cart is at the top of the loop, the normal force on the cart (exerted by the track) pushes down on the cart with a force of N = 1,330 newtons. When it is at the bottom of the loop, the cart has a speed of 30.7 meters per second. What is the radius of the loop (in units of meters)?

please answer letter d and e

A bucket of water with a mass of 2.36 kg is attached to a rope that is wound around a cylinder. The cylinder has a mass of 3.00 kg and is mounted horizontally on frictionless bearings. The bucket is released from rest. A) Find the speed of the bucket after it has fallen through a distance of 0.800 m. in m/s B) What is the tension in the rope? in N C) What is the acceleration of the bucket? Enter a positive value if the acceleration of the bucket is upward and enter a negative value if the acceleration of the bucket is downward. in m/s^2