Explanation Write the expression for velocity. v → = d r → d t Here, r → is the position vector. Substitute R cos ( ω t ) i ^ + R sin ( ω t ) j ^ for r → in the above equation. v → = d ( R cos ( ω t ) i ^ + R sin ( ω t ) j ^ ) d t = − ω R sin ( ω t ) i ^ + ω R cos ( ω t ) j ^ = − v sin ( ω t ) i ^ + v cos ( ω t ) j ^ Write the expression to be evaluated

Physics for Scientists and Engineers with Modern Physics

4th Edition

ISBN: 9780131495081

Author: Douglas C. Giancoli

Publisher: Addison-Wesley

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Chapter 11, Problem 69GP

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To show that the three vectors obey the relation v→=ω→×r→.

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Chapter 11, Problem 68GP

Chapter 11, Problem 70GP

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Tutorial Exercise An air-filled spherical capacitor is constructed with an inner-shell radius of 6.95 cm and an outer-shell radius of 14.5 cm. (a) Calculate the capacitance of the device. (b) What potential difference between the spheres results in a 4.00-μC charge on the capacitor? Part 1 of 4 - Conceptualize Since the separation between the inner and outer shells is much larger than a typical electronic capacitor with separation on the order of 0.1 mm and capacitance in the microfarad range, we expect the capacitance of this spherical configuration to be on the order of picofarads. The potential difference should be sufficiently low to avoid sparking through the air that separates the shells. Part 2 of 4 - Categorize We will calculate the capacitance from the equation for a spherical shell capacitor. We will then calculate the voltage found from Q = CAV.

I need help figuring out how to do part 2 with the information given in part 1 and putting it in to the simulation. ( trying to match the velocity graph from the paper onto the simulation to find the applied force graph) Using this simulation https://phet.colorado.edu/sims/cheerpj/forces-1d/latest/forces-1d.html?simulation=forces-1d.

I need help running the simulation to get the result needed.

Chapter 11 Solutions

Physics for Scientists and Engineers with Modern Physics

Ch. 11.1 - CONCEPTUAL EXAMPLE 115 Spinning bicycle wheel....Ch. 11.1 - CONCEPTUAL EXAMPLE 115 Spinning bicycle wheel....Ch. 11.1 - Suppose you are standing on the edge of a large...Ch. 11.2 - For the vectors A and B in the plane of the page...Ch. 11.2 - Prob. 1EE Ch. 11 - If there were a great migration of people toward...Ch. 11 - Can the diver of Fig. 112 do a somersault without...Ch. 11 - Suppose you are sitting on a rotating stool...Ch. 11 - When a motorcyclist leaves the ground on a jump...Ch. 11 - Suppose you are standing on the edge of a large...

Ch. 11 - A shortstop may leap into the air to catch a ball...Ch. 11 - If all the components of the vectors V1 and V2...Ch. 11 - Name the four different conditions that could make...Ch. 11 - A force F=Fj is applied to an object at a position...Ch. 11 - A particle moves with constant speed along a...Ch. 11 - If the net force on a system is zero, is the net...Ch. 11 - Explain how a child pumps on a swing to make it go...Ch. 11 - Describe the torque needed if the person in Fig....Ch. 11 - An astronaut floats freely in a weightless...Ch. 11 - On the basis of the law of conservation of angular...Ch. 11 - A wheel is rotating freely about a vertical axis...Ch. 11 - Consider the following vector quantities:...Ch. 11 - How does a car make a right turn? Where does the...Ch. 11 - The axis of the Earth processes with a period of...Ch. 11 - Why is it that at most locations on the Earth, a...Ch. 11 - In a rotating frame of reference. Newtons first...Ch. 11 - In the battle of the Falkland Islands in 1914, the...Ch. 11 - Wha is the anugular momentum of a 0.210-kg ball...Ch. 11 - (I) (a) What is the angular momentum of a 2.8-kg...Ch. 11 - (II) A person stands, hands at his side, on a...Ch. 11 - (II) A figure skater can increase her spin...Ch. 11 - (II) A diver (such as the one shown in Fig. 112)...Ch. 11 - (II) A uniform horizontal rod of mass M and length...Ch. 11 - (II) Determine the angular momentum of the...Ch. 11 - (II) (a) What is the angular momentum of a figure...Ch. 11 - (II) A person stands on a platform, initially at...Ch. 11 - (II) A uniform disk turns at 3.7 rev/s around a...Ch. 11 - (II) A person of mass 75 kg stands at the center...Ch. 11 - (II) A potters wheel is rotating around a vertical...Ch. 11 - (II) A 4.2-m-diameter merry-go-round is rotating...Ch. 11 - (II) A woman of mass m stands at the edge of a...Ch. 11 - (II) A nonrotating cylindrical disk of moment of...Ch. 11 - (II) Suppose our Sun eventually collapses into a...Ch. 11 - (III) Hurricanes can involve winds in excess of...Ch. 11 - (III) An asteroid of mass 1.0 105 kg, traveling...Ch. 11 - (III) Suppose a 65-kg person stands at the edge of...Ch. 11 - (I) If vector A points along the negative x axis...Ch. 11 - (I) Show that (a) i i = j j = k k = 0. (b) i j...Ch. 11 - (I) The directions of vectors A and B are given...Ch. 11 - (II) What is the angle between two vectorsA and...Ch. 11 - (II) A particle is located at r=(4.0i+3.5j+6.0k)m....Ch. 11 - (II) Consider a particle of a rigid object...Ch. 11 - (II) (a) Show that the cross product of two...Ch. 11 - (II) An engineer estimates that under the most...Ch. 11 - (II) The origin of a coordinate system is at the...Ch. 11 - (II) Use the result of Problem 26 to determine (a)...Ch. 11 - (III) Show that the velocity v of any point in an...Ch. 11 - (III) Let A,B, and Cbe three vectors, which for...Ch. 11 - (I) What are the x, y, and z components of the...Ch. 11 - (I) Show that the kinetic energy K of a particle...Ch. 11 - (I) Calculate the angular momentum of a particle...Ch. 11 - (II) Two identical particles have equal but...Ch. 11 - (II) Determine the angular momentum of a 75-g...Ch. 11 - (II) A particle is at the position (x, y, z) =...Ch. 11 - Prob. 38P Ch. 11 - (II) Four identical particles of mass m are...Ch. 11 - (II) Two lightweight rods 24 cm in length are...Ch. 11 - (II) Figure 1135 shows two masses connected by a...Ch. 11 - (III) A thin rod of length and mass M rotates...Ch. 11 - (III) Show that the total angular momentum L=ripi...Ch. 11 - (III) What is the magnitude of the force F exerted...Ch. 11 - Prob. 45P Ch. 11 - Prob. 46P Ch. 11 - (II) A thin rod of mass M and length is suspended...Ch. 11 - (II) A uniform stick 1.0 m long with a total mass...Ch. 11 - (II) Suppose a 5.8 1010 kg meteorite struck the...Ch. 11 - (III) A 230-kg beam 2.7 m in length slides...Ch. 11 - (III) A thin rod of mass M and length rests on a...Ch. 11 - (III) On a level billiards table a cue ball,...Ch. 11 - (II) A 220-g top spinning at 15 rev/s makes an...Ch. 11 - (II) A toy gyroscope consists of a 170-g disk with...Ch. 11 - Prob. 55P Ch. 11 - Prob. 56P Ch. 11 - (II) A bicycle wheel of diameter 65 cm and mass m...Ch. 11 - Prob. 58P Ch. 11 - Prob. 59P Ch. 11 - (II) Suppose the man at B in Fig. 1126 throws the...Ch. 11 - (II) For what directions of velocity would the...Ch. 11 - (III) We can alter Eqs. 1114 and 1115 for use on...Ch. 11 - (III) An ant crawls with constant speed outward...Ch. 11 - A thin string is wrapped around a cylindrical hoop...Ch. 11 - A particle of mass 1.00 kg is moving with velocity...Ch. 11 - A merry-go-round with a moment of inertia equal to...Ch. 11 - Why might tall narrow SUVs and buses be prone to...Ch. 11 - A spherical asteroid with radius r = 123 m and...Ch. 11 - Prob. 69GP Ch. 11 - The position of a particle with mass m traveling...Ch. 11 - A boy rolls a tire along a straight level street....Ch. 11 - A 70 kg person stands on a tiny rotating platform...Ch. 11 - Water drives a waterwheel (or turbine) of radius R...Ch. 11 - The Moon orbits the Earth such that the same side...Ch. 11 - A particle of mass m uniformly accelerates as...Ch. 11 - A projectile with mass m is launched from the...Ch. 11 - Most of our Solar Systems mass is contained in the...Ch. 11 - Prob. 78GP Ch. 11 - Competitive ice skaters commonly perform single,...Ch. 11 - A radio transmission tower has a mass of 80 kg and...Ch. 11 - Suppose a star the size of our Sun, but with mass...Ch. 11 - A baseball bat has a sweet spot where a ball can...Ch. 11 - (II) A uniform stick 1.00 m long with a total mass...

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To show that the three vectors obey the relation v → = ω → × r → .

Solution Summary: The author explains that the three vectors obey the relation stackrelto. Write the expression for velocity.

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To show that the three vectors obey the relation v→=ω→×r→.

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Chapter 11 Solutions