To understand two different techniques for computing the torqueon an object due to an applied…
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Question “To understand two different techniques for computing the torqueon an object due to an applied…”
To understand two different techniques for computing the torque Imagine an object with a pivot point p at the origin of the The torque on the object due to the forceF⃗ is equal to the cross product τ⃗ When the torque vector is parallel to the z axis Note that in this problem, the positive z direction is | Tangential component of the force Part A (Figure 2) Enter your answer as an ordered pair. Express Ft and Fr in terms of F and θ. Hint 1. Magnitude of F⃗ ropened Use the given angle between the force vector F⃗ and its (Fr,Ft)=nothing Part B Is the following statement true or false? The torque about point p is proportional to the length r of the position vector r⃗ . Is the following statement true or false? The torque about point p is proportional to the Part C Is the following statement true or false? Both the radial and tangential components ofF⃗ generate torque about point p. Is the following statement true or false? Both the radial and tangential components of generate Part D Is the following statement true or false? In this problem, the tangential force vector would tend to turn an Is the following statement true or false? In this problem, the tangential force vector would tend to turn an Part E Find the torque τ about the pivot point p due to forceF⃗ . Your answer should correctly express both the Express your answer in terms of Ft and r or in τ=nothing Moment arm of the force In the figure, the dashed line extending from the force vector Part F (Figure 3) Express your answer in terms of r and θ. rm=nothing Part G Find the torque τ about p due to F⃗ . Your Express your answer in terms of rm and F or in τ=nothing |
A pivot point p at the origin of the xy plane is shown in the figure. The vector r is the position vector relative to the pivot point p to the point where force F is applied. Vector r lies in the first quadrant. Vector F starts from the end of r and is directed downward and to the right. The acute angle between F and straight line containing r is labeled theta. The perpendicular distance from point p to the line of action of F is labeled as r m. A positive torque would cause counterclockwise rotation about the z-axis perpendicular to the plane of the figure. |
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