16. A roller-coaster car (Fig. P6.16) has a mass of 500 kg whenfully loaded with passengers. The path of the coaster fromits initial point shown in the figure to point involvesonly up-and-down motion (as seen by the riders), with nomotion to the left or right. (a) If the vehicle has a speedof 20.0 m/s at point A, what is the force exerted by thetrack on the car at this point? (b) What is the maximumB12Figure P6.16 Problems 16 and 38 speed the vehicle can have at point and sti remain onthe track? Assume the roller-coaster tracks at points A andBare parts of vertical circles of radius r15.0 m, respectively10.0 m and

(a)Consider point A. The force due to gravity (weight) acts in the downward direction and normal…

Answered: 16. A roller-coaster car (Fig. P6.16)…

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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Q1 [Type B]: The 20-lb crate A rests on a smooth surface. If the crate starts from rest and P = (t² + 1.5t) lb where t is in seconds, determine the speed of the crate A at t = 2 s using the method of linear impulse and momentum. Not using the required method would result in a 0 for this question. A Shaobo Huang P 30⁰
The door has a mass of m and a center of gravity at G. The door is pushed on with a force F at location H for a time t, starting from rest. a.) How far does the door travel after time t? b.) What is the sum of the moments about point A (use + for ccw)? c.) What is the maximum force experienced by a roller (list as magnitude)? daB B hμ dAG Ē.…. Variable dAB dag ha ho ho m TH F G ha Value 4.2 m 2.1 m 0.9 m 1.5 m 3.9 m 100 kg 1.79 s 135i + Oj N hp
I don’t know how to account for the brakes and chute for the deceleration.
Please solve using the impulse momentum equation with explanation . (Please draw the diagram,It's mandatory)
physics students have measured the kinetic friction coefficient between Block C and the ground to = 40kg, be μk = 0.27. If ma = mB = 20kg, and mc what is the acceleration of each block in the system shown? B
What is the smallest acceleration that bar A needs to move horizontally to maintain bodies 1 and 2 motionless with respect to the bar? The bodies' masses are the same, and there is k times as much friction between them and the bar. The pulley's mass and threads are insignificant, and there is no friction within. A 2
I Suppose an autonomous surface vessel (ASV) traveling with velocity TvG/O= vi₁ begins to make a turn by adjusting the thrust of its left and right thrusters, TA and TB, respectively. The center of mass of the ASV is located at G and the ASV is symmetric about its vertical axis. The ASV also experiences a drag force that is proportional to its speed and opposes its velocity. At the instant shown, the drag force is D = -kvi₁ where k is a drag coefficient. 1. To model the mass moment of inertia, approximate the ASV as consisting of three rigid bodies: a flat plate as a center body of mass 6m and two slender rods housing the propulsion assemblies, each of mass m, at the outboard sides of the vehicle. Determine the mass moment of inertia, IG, about the vertical axis passing through the center of mass G. (Hint: Use the parallel axis theorem.) 2. At the instant shown, determine the inertial acceleration vector ac/o = axi₁ + ayi2 of the center of mass and the angular acceleration a of the…
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Learning Goal: In 1687, Isaac Newton presented three basic laws that describe the motion of a particle: • First law: A particle originally at rest, or moving in a straight line with a constant velocity, will remain in this state provided that the particle is not subjected to an unbalanced force. Second law: A particle acted upon by an unbalanced force, F experiences an acceleration, a, that has the same direction as the force and a magnitude that is directly proportional to the force. Figure 1 1 1 V 1 of 2
Derive an expression for the position min x of the block when it is closest to the motion sensor. Express your answer in terms of m, D, 0v , q , and physical constants, as appropriate. On the axes provided below, sketch graphs of position x, velocity v, and acceleration a as functions of time t for the motion of the block while it goes up and back down the ramp. Explicitly label any in Suppose the ramp now has friction. The same block is projected up with the same initial speed 0v and comes back down the ramp. On the axes provided below, sketch a graph of the velocity v as a function of time t for the motion of the block while it goes up and back down the ramp, arriving at the bottom of the ramp at time f t . Explicitly label any intercepts, asymptotes, maxima, or minima with numerical values or algebraic expressions, as appropriate.
Figure 6.35 shows a proposed roller-coaster track. Each car starts from rest atpoint A, where ya = 21 mand it will roll freely without friction along the track.It is important that there be at least some small normal force exerted by thetrack on the car at all points; otherwise, the car will leave the track. What is the minimum safe value for the radius of the curvature at point B?
Body U with mass 5m is stacked on the top body W with mass m, and released. The bodies are in contact along the frictionless interface at 45° to the vertical. The body U is in contact with the frictionless vertical wall. Body W lies on the floor with coefficient of friction u. Relevant dimensions are shown in the figure. Express the results in terms of given quantities: m, g, h and µ (except when µ is given numerically). You need not evaluate sin 45° = cos 45° = 2/2. h U: 5m C 45 D W: m 3h

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