Question

Notify Me Bookmark

A common amusement park ride has a circular platform with swings hanging from it. Riders get in and the platform begins to rotate, causing the riders to also begin rotating and swing outward, eventually maintaining a constant angle with respect to the vertical. If a rider is a distance of 12 m from the axis of rotation and moving with a speed of 40 km/hr. a. Drawing Free Body Diagram at the rider b. What is the angle θ that the supporting wires make with the vertical? (46.40∘)

A common amusement park ride has a circular platform with swings hanging from it. Riders get in and the platform begins to rotate, causing the riders to also begin rotating and swing outward, eventually maintaining a constant angle with respect to the vertical. If a rider is a distance of 12 m from the axis of rotation and moving with a speed of 40 km/hr. a. Drawing Free Body Diagram at the rider b. What is the angle θ that the supporting wires make with the vertical? (46.40∘)

Image text
  1. A common amusement park ride has a circular platform with swings hanging from it. Riders get in and the platform begins to rotate, causing the riders to also begin rotating and swing outward, eventually maintaining a constant angle with respect to the vertical. If a rider is a distance of 12 m from the axis of rotation and moving with a speed of 40 k m / h r . a. Drawing Free Body Diagram at the rider b. What is the angle θ that the supporting wires make with the vertical?
( 46.40 ∘ )

Detailed Answer

0 0

Please enter your email here. You will get email when this question is answered by our tutor.

Doubtrix Logo

Problem is not yet solved!

Click on Notify me to get email when question is answered.

Join Doubtrix with 7-days free trial

  • Icon Correct & Verified Answers
  • Icon No AI-Generated Answers
  • Icon Video Solution for Difficult Questions
  • Icon Work With Experts to Reach at Correct Answers
Notify me Login Sign Up

Similar/Related Questions

In the swing carousel amusement park ride, riders sit in chairs that are attached by a chain to a large rotating drum as shown in (Figure 1). As the carousel turns, the riders move in a large circle with the chains tilted out from the vertical. In one such carousel, the riders move in a 16.5−m-radius circle and take 8.3 s to complete one revolution. Figure 1 of 1 What is the angle of the chains, as measured from the vertical? Express your answer in degrees. θ = ∘ In the swing carousel amusement park ride, riders sit in chairs that are attached by a chain to a large rotating drum as shown in (Figure 1). As the carousel turns, the riders move in a large circle with the chains tilted out from the vertical. In one such carousel, the riders move in a 16.5−m-radius circle and take 8.3 s to complete one revolution. Figure 1 of 1 What is the angle of the chains, as measured from the vertical? Express your answer in degrees. θ = ∘

Solution
0 0

A ball is attached to a cord of length L, which is tied to a frame attached to a truck bed as shown in figure (a), below. The ball-truck system is initially traveling to the right at constant speed vi, with the cord vertical. The truck suddenly stops when it undergoes an inelastic collision with a low wall as shown in figure (b), below. The suspended ball swings through an angle θ. a a (i) b (i) (a) Show that the original speed of the truck can be computed from vi = 2 gL(1−cos⁡(θ)). When the truck stops, the ball begins moving like a -- Select--- ∇. The truck's initial velocity can be derived using ---Select-- . Implementing this derivation method results in which following equation? 12−mvi2+mgL = 0+mgLcos⁡(θ)12−Lvi2+0 = 0+mgL(1−cos⁡(θ))12−mvi2+mg(−L) = 0+mg(−Lcos⁡(θ))12−Lvi2+mgLcos⁡(θ) = 0+mgL Solving this equation for vi gives vi = 2 gL(1−cos⁡(θ)). (b) If the wall is still exerting a horizontal force on the truck when the hanging ball is at its maximum angle forward from the vertical, at what moment does the wall stop exerting a horizontal force? somewhere between the maximum angle forward and the lowest point of the ball the lowest point of the ball somewhere between the lowest point of the ball and the maximum angle backward the maximum angle backward never A ball is attached to a cord of length L, which is tied to a frame attached to a truck bed as shown in figure (a), below. The ball-truck system is initially traveling to the right at constant speed vi, with the cord vertical. The truck suddenly stops when it undergoes an inelastic collision with a low wall as shown in figure (b), below. The suspended ball swings through an angle θ. a a (i) b (i) (a) Show that the original speed of the truck can be computed from vi = 2 gL(1−cos⁡(θ)). When the truck stops, the ball begins moving like a -- Select--- ∇. The truck's initial velocity can be derived using ---Select-- . Implementing this derivation method results in which following equation? 12−mvi2+mgL = 0+mgLcos⁡(θ)12−Lvi2+0 = 0+mgL(1−cos⁡(θ))12−mvi2+mg(−L) = 0+mg(−Lcos⁡(θ))12−Lvi2+mgLcos⁡(θ) = 0+mgL Solving this equation for vi gives vi = 2 gL(1−cos⁡(θ)). (b) If the wall is still exerting a horizontal force on the truck when the hanging ball is at its maximum angle forward from the vertical, at what moment does the wall stop exerting a horizontal force? somewhere between the maximum angle forward and the lowest point of the ball the lowest point of the ball somewhere between the lowest point of the ball and the maximum angle backward the maximum angle backward never

Solution
0 0

11 A 2.0 kg ornament tied to the end of a 1.8 m long ribbon swings as a pendulum. At the lowest point of the swing, the speed of the ornament is 6.0 m/s. What is the speed of the ornament at the instant that the ribbon makes an angle of 40∘ with respect to the vertical? 12. A boxcar of a toy train set (m = 600 g) is moving at a rate of 40 cm/s when it collides perfectly elastically with a 900 g caboose initially at rest. What is the velocity (magnitude and direction) of each of the cars after the collision?

Solution
0 0