m A roller coaster car and passenger with a mass of m = 800 kg starts at point A with a speed of V₁ = 9 - S Hints: 1. For the roller coaster car to pass through safely, the normal reaction at B, NB = 0. 2. Neglect friction, the mass of the wheels and the size of the car. A VA i aa d₁ Values for the figure are given in the following table. Note the figure may not be to scale. Variable Value 18 m TE d3 9 m 12 9 m 4.5 m Using equations of motion in normal-tangential coordinates and conservation of energy, a. Determine the speed of the roller coaster car at point B, vp. b. Determine minimum height of the first hill so that the car travels around the inside loops without leaving the track, d₁. c. Determine the speed of the roller coaster car at point C, vc. d. Determine the normal reaction at point C, N. Round your final answers to 3 significant digits/figures. UB= d₁ = VC = N = m S m da m S N

m A roller coaster car and passenger with a mass of m = 800 kg starts at point A with a speed of V₁ = 9 - S Hints: 1. For the roller coaster car to pass through safely, the normal reaction at B, NB = 0. 2. Neglect friction, the mass of the wheels and the size of the car. A VA i aa d₁ Values for the figure are given in the following table. Note the figure may not be to scale. Variable Value 18 m TE d3 9 m 12 9 m 4.5 m Using equations of motion in normal-tangential coordinates and conservation of energy, a. Determine the speed of the roller coaster car at point B, vp. b. Determine minimum height of the first hill so that the car travels around the inside loops without leaving the track, d₁. c. Determine the speed of the roller coaster car at point C, vc. d. Determine the normal reaction at point C, N. Round your final answers to 3 significant digits/figures. UB= d₁ = VC = N = m S m da m S N

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

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Concept explainers

Clutches, Brakes, Couplings, and Flywheels

The clutch is described as a machine element used to connect or disconnect two shafts together to transmit torque or power. The clutch works on the principles of friction. The clutch is commonly used in automobiles to transfer power from the driving shaft to the driven shaft.

Question

m
A roller coaster car and passenger with a mass of m = 800 kg starts at point A with a speed of V₁ = 9 -
S
Hints:
1. For the roller coaster car to pass through safely, the normal reaction at B, NB = 0.
2. Neglect friction, the mass of the wheels and the size of the car.
A
VA
i aa
d₁
Values for the figure are given in the following table. Note the figure may not be to scale.
Variable Value
18 m
TE
d3 9 m
12
9 m
4.5 m
Using equations of motion in normal-tangential coordinates and conservation of energy,
a. Determine the speed of the roller coaster car at point B, vp.
b. Determine minimum height of the first hill so that the car travels around the inside loops without
leaving the track, d₁.
c. Determine the speed of the roller coaster car at point C, vc.
d. Determine the normal reaction at point C, N.
Round your final answers to 3 significant digits/figures.
UB=
d₁ =
VC =
N =
m
S
m
da
m
S
N

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