A "swing" ride at a carnival consists of chairs that are swung in a circle by 18.7 m cables attached to a vertical rotating pole, as the drawing shows. Suppose the total mass of a chair and its occupant is 294 kg. (a) Determine the tension in the cable attached to the chair. (b) Find the speed of the chair.

A "swing" ride at a carnival consists of chairs that are swung in a circle by 12.4 m cables attached to a vertical rotating pole, as the drawing shows. Suppose the total mass of a chair and its occupant is 135 kg. (a) Determine the tension in the cable attached to the chair. (b) Find the speed of the chair.

A toy aeroplane of mass m = 1,80 kg is attached to a string of length e = 33.0 m and flys in uniform circular motion in a horizontal plane around the centre of its motion. The plane has an engine which generates thrust that keeps the plane moving at a speed of v = 30.7 km/hr. (a) What is the period of the circular motion? Period = S (b) What is the tension in the string holding the aeroplane in its circular motion? Tension = Part 3) A block sits on a sloping plane that can have its angle to the vertical p varied. The angle o initially starts at a value of 90°, and the slope is raised until at an angle o E 33.2° the block starts to slide down the slope. Calculate the coefficient of static friction for this block on this slope.

A ball with a mass of 1.50 kg rolls down a hemisphere from A to B. Se figure. At A, it has a centripetal acceleration with a magnitude of 1.80 m/s² and a speed of 1.20 m/s. At B, it has a centripetal acceleration with a magnitude of 5.50 m/s? and a normal force with a magnitude of 4.30 N. Find the magnitude of the normal force on the ball at A, and the angle 0. Ignore friction everywhere. VA = 1.20 m/s В VB = ? 0= ? R = ?

A girl swings a 0.190 kg rock attached to a taut string in a circle around her head; her hand holds the end of the string above her head, and the string angles down slightly. The string is massless and 0.680 m long. A coordinate system lies with its origin at the location where the string comes out of the girl's hand. The positive z-axis points vertically upwards, the positive y- axis points horizontally towards the right, and the positive x-axis points out of the screen. At a certain instant, the rock makes 3.25 revolutions per second (rev/s) in a counterclockwise direction, as seen from above. The string is inclined at an angle of 0 = 12.4° below the xy-plane, and the projection of the string onto the xy- plane makes an angle o = 36.8° with the positive x-axis. What is the tangential velocity vector v in meters per second (m/s) at this instant? Report your answer using ijk unit vector notation. i = v, i + vyj+ vz k m/s

The cable lifting an elevator is wrapped around a 1.2-m-diameter cylinder that is turned by the elevator's motor. The elevator is moving upward at a speed of 1.9 m/s . It then slows to a stop, while the cylinder turns one complete revolution.How long does it take for the elevator to stop?

Masses m₂, m₂, m3 and om are connected together as shown in the figure below. All the surfaces are smooth. If m₁ = 3.2kg, m₂ = 2.8kg, m3 = 3.8kg, om = 1.3kg and = 55°, calculate a) the acceleration of the system. b) the normal force between m3 and ōm. 7²1 7122 In+one 183

A block is hung by a string from the inside roof of a van. When the van goes straight ahead at a speed of 21.5 m/s, the block hangs vertically down. But when the van maintains this same speed around an unbanked curve (radius = 167 m), the block swings toward the outside of the curve. Then the string makes an angle with the vertical. Find 0. Number i Units To center of curve

A 51 kg object is experiencing a net force of 250 N while traveling in a circle of radius 1.5 m. What is its velocity?

A 43-kg child riding a Ferris wheel (radius = 13 m) travels in a vertical circle. The wheel completes one revolution every 17 s. What is the magnitude of the force on the child by the seat (i.e. normal force) at the highest point on the circular path?