PHYS 1050 Midterm: PHYS1050 Midterm 2015 Fall Samples A, B , C Answers

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turquoisegnu128

24 Oct 2018

School

University of Manitoba

Department

Physics and Astronomy

Course

PHYS 1050

Professor

All

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Document Summary

Mark the correct answers in rows 1 18 of the first column of the accompanying ibm sheet in pencil. Also write paper a next to your name on the ibm sheet. 1. the hill for 50m its velocity has increased to v=9 m/s. How large is the acceleration (assumed to be constant)? (a)0. 8 m/s2 (b)1. 6 m/s2 (c)2. 4 m/s2 (d)3. 2 m/s2. Be sure your name and student number are printed on the score sheet and the. The resulting vector s is (a)0. 8 m/s2 (b)1. 6 m/s2 (c)2. 4 m/s2 (d)3. 2 m/s2 (e)4 m/s2. A vector a of magnitude 4 pointing in the negative x direction is added to the vector (a) (b) (c) (d) (e) The position of a particle is given by acceleration of the particle makes with the positive x axis is given by (a)80. 5 (b)279. 5 (c)45. 5 (d)60 (e)190. 5. At time t = 4s the angle the k. 4 s s s s s r t t i.

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The position of a particle moving on the XY plane is given by R=2.0cos(3.0rad s/t)i+2.0sin(3.0rad s/t)j, where r is in meters and t is in t seconds. A) Show that this represents circular motion of radius 2.0 m centered at the origin. B) Determine the speed? C) determine the magnitude of the acceleration? D) Show that a=v^2/r? E) Show that the acceleration vector always points toward the center of the circle? I cant seem to figure this one out. Please help?

Consider an electric dipole whose dipole moment (a vector pointing from the negative charge to the positive charge) is oriented at an angle with respect to the y-axis. There is an external electric field of magnitude E (independent of the field produced by the dipole) pointing in the positive y-direction. The positive and negative ends of the dipole have charges +q and -q, respectively, and the two charges are a distance d apart. The dipole has a moment of inertia I about its center of mass. It will help you to imagine that the dipole is free to rotate about a pivot through its center.

A) What is the net force that the dipole experiences due to the electric field?

B) What is , the magnitude of the torque that the electric field exerts about the center of mass of the dipole?

C) Using the above result, find the potential energy associated with the dipole's orientation in the field as a function of the angle shown in the figure. Take the zero of the potential to occur when the dipole is at angle ; that is , .

D) In terms of the dipole moment , What is the expression for the torque on a dipole in the field ?

E) In terms of the dipole moment, What is the expression for the potential energy of a dipole in the field?

redmammoth521

A force F⃗ of magnitude F making an angle θ with the x-axis is applied to a particle located along the axis of rotation A, at Cartesian coordinates (0,0) in the figure. The vector F⃗ lies in the XY plane, and the four axes of rotation A, B, C, and D all lie perpendicular to the XY plane. (Figure 1)

A particle is located at a vector position r⃗ with respect to an axis of rotation (thus r⃗ points from the axis to the point at which the particle is located). The magnitude of the torque τ about this axis due to a force F⃗ acting on the particle is given by

τ=rFsin(α)=(moment arm)⋅F=rF⊥,

where α is the angle between r⃗ and F⃗ , r is the magnitude of r⃗ , F is the magnitude of F⃗ , the component of r⃗ that is perpendicular to F⃗ is the moment arm, and F⊥ is the component of the force that is perpendicular to r⃗ .

Sign convention: You will need to determine the sign by analyzing the direction of the rotation that the torque would tend to produce. Recall that negative torque about an axis corresponds to clockwise rotation.

In this problem, you must express the angle α in the above equation in terms of θ, ϕ, and/or π when entering your answers. Keep in mind that π=180degrees and (π/2)=90 degrees.

Part A

What is the torque τA about axis A due to the force F⃗ ?

Express the torque about axis A at Cartesian coordinates (0,0).

τA =

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Part B

What is the torque τB about axis B due to the force F⃗ ? (B is the point at Cartesian coordinates (0,b), located a distance b from the origin along the y axis.)

Express the torque about axis B in terms of F, θ, ϕ, π, and/or other given coordinate data.

τB =

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Part C

What is the torque τC about axis C due to F⃗ ? (C is the point at Cartesian coordinates (c,0), a distance c along the x axis.)

Express the torque about axis C in terms of F, θ, ϕ, π, and/or other given coordinate data.

τC =

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Part D

What is the torque τD about axis D due to F⃗ ? (D is the point located at a distance d from the origin and making an angle ϕ with the x axis.)

Express the torque about axis D in terms of F, θ, ϕ, π, and/or other given coordinate data.

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PHYS 1050 Midterm: PHYS1050 Midterm 2015 Fall Samples A, B , C Answers

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