PHYS 1201W Chapter Notes - Chapter 4: Simple Machine, Mechanical Advantage, Seesaw

25 views2 pages

indigoraccoon472

14 Oct 2016

School

Department

Course

Professor

For unlimited access to Textbook Notes, a Class+ subscription is required.

Document Summary

Statics is the study of the forces acting on an object that is in eq and at rest; here, statics is discussed by a rigid body or one that does not change when a force acts upon it. For an object to be in eq, it must be in translational eq and an absence of a net torque (turning effect) Center of gravity - point at which the weight of a rigid body may be considered to be concentrated. Torque depends on the force (f) and the distance ( r ) from a point on the axis of rotation to the point where the force acts on the object and the angle between r & f. A force parallel to the axis of rotation will have no effect on rotational motion. Direction of torque is given in terms of the vector product or cross product of 2 vectors. Net force of object = 0 & 2.

Related Questions

Torque can be calculated by multiplying the force (N) applied at 90^∘to the lever arm at a distance (m) from the pivot point (point of rotation), the compound SI unit for the torque is N⋅m. If the force (at 90^∘ to the lever arm) applied is 15 N and it is applied at 2.0 m from the pivot point (point of rotation), what is the torque on the lever?

Express the torque with the appropriate units.

coffeefrog892

Torque can be calculated by multiplying the force (N) applied at 90∘ to the lever arm at a distance (m) from the pivot point (point of rotation), the compound SI unit for the torque is N⋅m. If the force (at 90∘ to the lever arm) applied is 15 N and it is applied at 2.0 m from the pivot point (point of rotation), what is the torque on the lever?

ceruleanprairie-dog93

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 =

SubmitHintsMy AnswersGive UpReview Part

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 =

SubmitHintsMy AnswersGive UpReview Part

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 =

SubmitHintsMy AnswersGive UpReview Part

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.

apricotclam488

PHYS 1201W Chapter Notes - Chapter 4: Simple Machine, Mechanical Advantage, Seesaw

Document Summary

Get access

Related textbook solutions

Physics: Principles with Applications

Related Documents

PHYS 1201W Chapter Notes - Chapter 3: Friction, Mass, Inertial Frame Of Reference

PHYS 1201W Chapter Notes - Chapter 5: Centripetal Force, Amusement Park, Alpha

PHYS 100 Chapter Notes - Chapter 9: Angular Velocity, Mechanical Advantage, Free Body Diagram

Related Questions