The roller coaster and its passenger have a total mass m. Determine the smallest velocity it must have when it enters the loop at A so that it can complete the loop and not leave the track. Also, determine the normal force the tracks exert on the car when it comes around to the bottom at C. The radius of curvature of the tracks at B is pg, and at C it is pc . Neglect the size of the car. Points A and C are at the same elevation.

The roller coaster and its passenger have a total mass m. Determine the smallest velocity it must have when it enters the loop at A so that it can complete the loop and not leave the track. Also, determine the normal force the tracks exert on the car when it comes around to the bottom at C. The radius of curvature of the tracks at B is pg, and at C it is pc . Neglect the size of the car. Points A and C are at the same elevation.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

See similar textbooks

Related questions

Q: It takes 35 seconds for the 50-Mg tugboat to increase its speed uniformly to 25km/h, starting from…

A: Approach to solving the question:Please see attached photos for detailed solutions. Thank you.…

Q: The uniform bar AB has length L = 4.5 ft and weight WAB= 19 lb. At the instant shown, 8 = 67° and VA…

Q: The robot arm is elevating and extending simultaneously. At a given instant, 0 = 29,0 = 36 deg/s, 0…

Q: The ice-hockey puck with a mass of 0.17 kg has a velocity of 11 m/s before being struck by the…

A: Given: m = 0.17 kg v1 = 11 m/s v2 = 20 m/s

Q: The SUV shown below has an initial velocity of 90 ft/s. It slams on it's brakes, coming to a stop…

A: We have to find normal force

Q: The small collar of mass m = 0.59 kg is released from rest at A and slides down the curved rod in…

A: Given - h=2.99 mVA=0m =.59 kg To Find - VB=?

Q: The roller coaster car has a mass of 700 kg, including its passenger. It is released from rest at…

A: Find the normal reaction at point B and C.

Q: The motor lifts the 60-kg crate with a constant acceleration a = 2 m/s2. Neglect the mass of beam…

A: The mass of the crate lifted by the motor is m=50 kg. The acceleration of the crate is a=2 m/s2. The…

Q: 3-Determine the height h of the incline D to which the 250-kg roller coaster car will reach, if it…

A: Given data as per question Mass of car =250 kg Pc=25 m The velocity of the car at point C is needed…

Q: Write all the steps with free body diagrams as well please and thank you

Q: Two 2 kg balls are attached to the ends of a rod. The rod is attached to an axle such that the balls…

Q: It takes 35 seconds for the 50-Mg tugboat to increase its speed uniformly to 25km/h, starting from…

Q: A small block having a mass of m kg is given a horizontal velocity vo when it slides along the…

Q: 3/13 Determine the tension P in the cable which will give the 100-lb block a steady acceleration of…

A: given data; ⇒tention (P)=?⇒mass of the block(m)=100lb⇔45.35kg⇒acceleration of block…

Q: At the instant shown, link CD rotates with an angular velocity of Ww = 8.5 rad/s. If it is subjected…

Q: 5. If the 2-kg block passes over the top B of the circular portion of the path with a speed of…

Q: The particle of mass m = 2.1 kg is attached to the light rigid rod of length L = 0.91 m, and the…

Q: The 7-kg collar has a velocity of 3 m/s to the right when it is at A. It then travels along the…

Q: 14-27. The "flying car" is a ride at an amusement park which consists of a car having wheels that…

Q: The jet aircraft has a total mass of 22 Mg and a center of mass at G. Initially at take-off the…

A: The data given is, Mass of jet aircraft, m = 22 Mg = 22000 kg Thrust by the engine, 2T = 4 kN =…

Q: Determine the maximum speed at which the car with mass m can pass over thetop of point A of the…

A: Step 1:Step 2:

Q: The 6-kg spiked pendulum is released in position 1. When the pendulum reaches position 2, the spike…

A: Consider the diagram shown below for the given system.

Q: keys of rope eam. I it/sec, bing along of 1.5, 0.5, and 2 ft/sec², respectively, determine the…

Q: Q4. If the motorcycle leaves the ramp traveling at 110 ft/s, determine the height h ramp B must have…

A: Velocity of motorcycle= 110ftsheight of ramp 'B' = h ftheight of ramp 'A'=30 ft

Q: 322 The simple 2-kg pendulum is released from rest in the horizontal position. As it reaches the…

A: When a body suspended at a finxed point and it swings about that point, that body is known as the…

Q: roller coaster car has a mass of 600 kg when fully loaded with passengers. If the car has a speed of…

A: Given Mass, m = 600 kg Velocity, u = 20 m/s Find Maximum speed, V

Q: The cord is wrapped around the cylinder which is released from rest on the 60-degree incline. Find…

A: To find the velocity 𝑉G(𝑡) and position 𝑋G(𝑡) of the cylinder's center of mass G as it rolls…

Q: The collar has a mass of 2 kg and is attached to the light spring, which has a stiffness of 30 N∕m…

Q: At the instant shown, link CD rotates with an angular velocity of W = 9.5 rad/s. If it is subjected…

A: Given data as per the question Angular velocity of CD =9.5 rad/s Moment = 560 N.m Mass = 50 kg

Q: The 900-lb roller coaster car starts from rest on the track having the shape of a cylindrical helix…

Q: winding drum that operates the elevator. If the elevator has a mass of 900 kg, the counterweight C…

A: Given data: Torque, M = 6kN.M Mass of the elevator, mE = 900 kg Counterweight C, mC = 200 kg Mass of…

Concept explainers

Conservation of Energy

In physics, the rule of the conservation of energy states that energy doesn’t disappear from the atmosphere; instead, it changes its form from one type to another. Energy is one of the most important physical quantities in nature, and it cannot be created or destroyed — only transformed.

Question

The roller coaster and its passenger have a total mass m. Determine the smallest
velocity it must have when it enters the loop at A so that it can complete the loop and not leave
the track. Also, determine the normal force the tracks exert on the car when it comes around to
the bottom at C. The radius of curvature of the tracks at B is p3 , and at C it is Pc. Neglect the
size of the car. Points A and C are at the same elevation.
B
PB

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.

Similar questions

3/170 The system is at rest with the spring unstretched when 0 = 0. The 3-kg particle is then given a slight nudge to the right. (a) If the system comes to mo- mentary rest at 0 = 40°, determine the spring con- stant k. (b) For the value k = 100 N/m, find the speed of the particle when 0 = 25°. Use the value b = 0.40 m throughout and neglect friction. C B b m Problem 3/170 A 1.256
A force of P = 500 N is applied to the 80-kg cart. Determine the reactions at both the wheels at A and both the wheels at B. Also, what is the acceleration of the cart? The mass center of the cart is at G.
The helical path is wound around the circular cylinder with radiusR . The step h= 2*pi*R. The object A is sliding through the path guide under gravity (acting in the negative zdirection). There is no air resistance 1)Draw the force diagrams in (theta ,Z ) plane (tangent to the cylinder) and in( r,theta ) plane. 2) If the initial speed is 0, find the speed after 3 full circles. Given: R, g, m, u.[Hint: Use the work-energy principle.]
3/156 The two 1.5-kg spheres are released from rest and gently nudged outward from the position = 0 and then rotate in a vertical plane about the fixed centers of their attached gears, thus maintaining the same angle for both rods. Determine the ve- locity v of each sphere as the rods pass the position 0 = 30°. The spring is unstretched when 0 = 0, and the masses of the two identical rods and the two gear wheels may be neglected. 1.5 kg 240 mm 240 mm k = 60 N/m 80 mm Problem 3/156 1.5 kg
* 5. In preliminary design studies for a sun- powered car, it is estimated that the mass of the car and driver will be m kg and the torque produced by the engine will result in a F, newton tangential force on the car. Suppose that the car starts from rest on the track at A and is subjected to a constant Ft newton tangential force. Determine the magnitude of the car's velocity and the normal component of R m END B A START l m Figure 5. force on the car when it reaches B. m = .15.. kg Fe .newton .m R = 31.25
A car of mass m is moving with a speed of vo as shown, at first the car passes a horizontal surface with vo = √2gr Then it start traveling along the circular path with radius r, What is the force exerted onto the front wheel of the car the instant it enters the circular path? (Hint: model the car as a uniform thin bar, consider angular acceleration) FBD: Ⓡ -- a a vo.
3/139 The two particles of equal mass are joined by a rod of negligible mass. If they are released from rest in the position shown and slide on the smooth guide in the vertical plane, calculate their velocity v when A reaches B's position and B is at B'. A 18 B B
2. The spheres have a mass of 7.50 kg each and are moving at v = 3.50 m/s at time t = 0 as shown. The shaft and frame have negligible mass. A time dependent driving moment M=4-t² is applied. Calculate the speed of the spheres at time t = 6.00 s. M 0.5 m
If M = 2m, find the linear acceleration of the suspended body (in g).
The slider of mass m is released from rest in position A and slides without friction along the vertical‐plane guide shown. Determine the height h such that the normal force exerted by the guide on the slider is zero as the slider passes point C. For this value of h, determine the normal force as the slider passes point B.
A force of P = 340 N is applied to the 70-kg cart. The mass center of the cart is at G Determine the reaction at both the wheels at A. Determine the reaction at both the wheels at B. What is the acceleration of the cart?
The 0.6-lb particle is guided along the circular path using the slotted arm guide. Motion occurs in the horizontal plane with negligible friction. Note that the circular part of the slot has the radius equal to 0.5 ft, and the radial position, r, is measured from the hinge and the angle is measured in the counter-clockwise direction. If the arm has an angular velocity = 4 rad/sec and an angular acceleration 6 - 8 rad/sec² at the instant when 0 = 30°, determine the force of the arm guide on the particle at the instant. Present your answer in lb using 3 significant figures. 0.5 ft 0 0.5 ft.