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Two forces F1 and F2 act along the two sides of an equilateral triangle as shown in Figure P11.9. Point O is the intersection of the altitudes of the triangle. Find a third force F3 to be applied at B and along BC that will make the total torque zero about the point O. What If? Will the total torque change if F3 is applied not at B but at any other point along BC?

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Shelley Sundae Naparota
Shelley Sundae NaparotaLv10
11 Nov 2020

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Related textbook solutions

Physics: Principles with Applications
7th Edition, 2013
Giancoli
ISBN: 9780321625922

Related questions

The body in the figure below is pivoted at o, and two forces act on it as shown.

uploaded image

a) Find an expression for the net torque on the body about the pivot.
I) r2F2 cos θ2 - r1F1 cos θ1
II) r1F2 cos θ1 - r2F1 cos θ2
III) r1F1 sin θ1 - r2F2 sin θ2
IV) r2F1 sin θ2 - r1F2 sin θ1

(b) If r1 = 1.51 m, r2 = 2.03 m, F1 = 3.78 N, F2 = 4.88 N, θ1 = 75.0°, and θ2 = 60.0°, what is the net torque about the pivot?

A rectangular loop of wire has dimensions of 0.500 m by 0.300 m. The loop is pivoted at the x-axis and lies in the XY plane as shown in Figure P28.34. A uniform magnetic field of magnitude 1.50 T is directed at an angle of 40.0° with respect to the y axis with field lines parallel to the yz plane. The loop carries a current of 0.900 A in the direction shown. (Ignore gravitation.) We wish to evaluate the torque on the current loop.

(a) What is the direction of the magnetic force exerted on wire segment ab?

(b) What is the direction of the torque associated with this force about an axis through the origin?

(c) What is the direction of the magnetic force exerted on segment cd?

(d) What is the direction of the torque associated with this force about an axis through the origin?

(e) Can the forces examined in parts (a) and (c) combine to cause the Loop to rotate around the x-axis?

(f) Can they affect the motion of the loop in any way? Explain.

(g) What is the direction of the magnetic force exerted on segment bc?

(h) What is the direction of the torque associated with this force about an axis through the origin?

(i) What is the torque on segment ad about an axis through magnetic force exerted on segment bc? (h) What is the direction of the torque associated with this force about an axis through the origin? (i) What is the torque on segment ad about an axis through the origin? O) From the point of view of Figure P28.34, once the loop is released from rest at the position shown, will it rotate clockwise or counterclockwise around the x-axis? (k) Compute the magnitude of the magnetic moment of the loop. (1) What is the angle between the magnetic moment vector and the magnetic field? (m) Compute the torque on the loop using the results to parts (k) and (1). 

 

The figure below shows a cold package of hot dogs sliding rightward across a frictionless floor through a distance d=20.5 cm while three forces are applied to it. Two of the forces are horizontal and have the magnitudes F1 = 5.00 N and F2 = 1.00 N; the third force is angled down by θ=65.0° and has the magnitude F3 =4.00 N.

(a) For the 20.5 cm displacement, what is the net work done on the package by the three applied forces, the gravitational force on the package, and the normal force on the package?


(b) If the package has a mass of 2.4 kg and an initial kinetic energy of 0 J, what is its speed at the end of the displacement?

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