A particle is located at the position vector r = (7.00Î + 10.00ĵ) m and a force exerted on it is given by F = (6.ooî + 5.00ĵ) N. (a) What is the torque acting on the particle about the origin? N.m (b) Can there be another point about which the torque caused by this force on this particle will be in the opposite direction and half as large in magnitude? Yes No (c) Can there be more than one such point? Yes No (d) Can such a point lie on the y-axis? Yes No (e) Can more than one such point lie on the y-axis? Yes No (f) Determine the position vector of one such point. (Give a point on the y-axis.)

Q: At a particular instant, a 1.0 kg particle's position is r = (3.0î - 4.0j + 5.0k) m, its velocity is…

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Q: A particle moves through an xyz coordinate system while a force acts on the particle. When the…

A: Given data: The position vector of the particle is, The force is, The torque about the origin is,…

Q: A particle is located at a point described by the position vector F= (4.00î + 6.003) m, and a force…

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Q: A particle moves through an xyz coordinate system while a force acts on the particle. When the…

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Q: A particle moves through an xyz coordinate system while a force acts on the particle. When the…

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Q: A slingshot is being whirled around in uniform circular motion. Which of the following statements…

A: 1)  correct answer is............. the net torque is zero, but the net force is non zero 2) solid…

Q: At the instant of the figure, a 4.90 kg particle P has a position vector r of magnitude 9.40 m and…

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Q: An approximate model for a ceiling fan consists of a cylindrical disk with four thin rods extending…

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Q: If r=2i ̂+3j ̂ and F=-3i ̂+2j ̂, what is the magnitude and direction of the torque τ?

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Q: Force F = (8.55 N )î – (9.95 N )k acts on a pebble with position vector T = (6.87 m )ĵ – (2.53 m )k,…

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Q: Two uniform solid spheres have the same mass of 1.65 kg, but one has a radius of 0.226 m and the…

A: According to company policy only first three subparts will be answered here. Please post the rest…

Q: A 5.40 kg particle with velocity v→=(4.09m/s)î-(3.06m/s)ĵ is at x = 9.82 m, y = 9.03 m. It is…

A: Given,

Q: metal bar is in the xy-plane with one end of the bar at the origin. A force ? =(7.00 N)?+(3.00 N)?…

A: GivenF⇀=7.00 N i^+3.00 N j^Point, x=3 m , y=4 m

Q: At the instant of the figure, a 6.90 kg particle P has a position vector i of magnitude 6.00 m and…

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Q: When the particle has the position vector  r→ = (2.00 m) î - (3.00 m) ĵ + (2.00 m) k̂, the force…

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Q: A particle is acted on by two torques about the origin: t1 has magnitude of 2.0 Nm and is directed…

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Q: The distance from the center of the breastbone to a man’s hand, with the arm outstretched and…

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Q: A particle is located at the position vector r = (6.00î + 7.0oj) m and a force exerted on it is…

A: F→ = 4 i ⏜+ 3 j⏜r⏜ = 6 i⏜ + 7 j ⏜

Q: At the instant shown in the figure, a 2.0 kg particle P has a position vector of magnitude 3.0 m and…

A: Torque about the origin τ→=r→×F→=rFsinθ3k^

Q: Force F 6 Ni+3.3 Nj acts on a small rock with a position vector r=7.1 mi+5.6 mj relative to the…

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Q: A particle is located at the position vector r = (7.00î + 8.00ĵ) m and a force exerted on it is…

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Q: Force, F = (3.0 N)î – (4.0 N)ĵ acts on a particle with position vectori = -(2.0 m)î - (6.0 m)f. What…

A: The force, F→=3.0 N i^-4.0 N j^   The position vector, r→=-2.0 N i^-6.0 N j^

Q: A particle is located at the point with coordinates (0, 2, 4) m, and the force acting on it is F =…

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Q: *22 A particle moves through an xyz coordinate system while a force acts on the particle. When the…

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Q: A particle is acted on by two torques about the origin: 7 1 has a magnitude of 4.9 N·m and is…

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Q: A 5.37 kg toy car moves along an x axis with a velocity given by  v→ = -4.65t3 î m/s, with t in…

A: Given that ----  v→ = -4.65t3 î m/s For t > 0-- (a) the angular momentum  L→ of the car and  (b)…

Q: the xy-plane with one end of the bar at the origin. A force ? =(7.00 N)?+(3.00 N)? is applied to the…

A: GivenApplied force, F is F⇀=(7.00 N)i^+(3.00 N) j^at pointsx=3 m , y=4 m

Q: You are installing a new spark plug in your car, and the manual specifies that it be tightened to a…

A: From the equation for torque, the force exerted on the wrench is,

Q: At the instant of the figure, a 7.20 kg particle P has a position vector i of magnitude 1.10 m and…

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Q: A force F = 2i − 3j + k acts at the point (1, 5, 2). Find the torque due to F(a) about the…

A: (a) The position vector of the force about the origin is, The torque about the origin can be given…

Q: Current Attempt in Progress At one instant, force F = 8.45j N acts on a 0.272 kg object that has…

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Q: 8. A particle is located at the vector position 7 = (4.00î + 6.00j) m, and a force exerted on it is…

A: Given that

Q: A particle of mass 5.0 kg has position vector r → = (2.0i ^ − 3.0j ^ )m at a particular instant of…

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Q: At one instant, force F=4.0j N acts on a 5kg object that has position vector: r = (2.0i - 2.0k) and…

A: Given data *The given force acts on the object is F = 4.0j N *The object has a position vector is…

Q: Two uniform solid spheres have the same mass of 1.77 kg, but one has a radius of 0.208 m and the…

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Q: A particle moves through an xyz coordinate system while a force acts on the particle. When the…

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Q: Three forces are acting on a bar of length 3.5 m. ?1has a magnitude of 11 N and acts on the end of…

A: Total length of bar=3.5 m F1=11 N l1=3.5 m θ=21∘ F2=21 N l2=1.75 m F3=? l3=0.15 m

Q: m) î - (3.00 m)} + (2.00 m) k, the force is F = F,i + (7.00 N)} - (6.00 N) k, and the corresponding…

A: →r=2i - 3j +2k→F=FXi +7j -6k→ζ=4i+10j+11k

Q: vector v of magnitude 3.50 m/s and angle 02 = 29.0°. Force F , of magnitude 8.70 N and angle 03 =…

A: Angular momentum is the rotational equivalent of linear momentum. And it is given  by, L = r × mv…

Q: A metal hoop lies on a horizontal table, free to rotate about a fixed vertical axis through its…

A: Given: The magnitude of the torque is 1.75x10-2 N.m. The time interval is 3 s.

Q: At the instant of the figure, a 7.20 kg particle P has a position vector 7 of magnitude 1.10 m and…

A: According to guidelines , only first question is solved here. Given, m = 7.20 kg position of vector…

Q: At one instant, force: F = 5.14j N acts on a 0.297 kg object that has position vector T = (5.10i –…

A: S.I unit of Angular momentum is kg.m2.s-1 S.I unit of Torque is  Nm  Here we directly use vector…

Q: In the figure, a constant horizontal force  F→app of magnitude 31.0 N is applied to a uniform solid…

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Q: A particle is to move in an xy plane, clockwise around the origin as seen from the positive side of…

A: a) Here the torque equals to zero, from Newton’s second law of motion, the net torque acting on a…

Q: *24 In unit-vector notation, what is the torque about the origin on a jar of jalapeño peppers…

A: a) The required torque is, b) The required torque is,

Q: A particle is located at the position vector r = (9.00î + 10.00j) m and a force exerted on it is…

A: Given that,               r→ =9i∧+10j∧ m F→ =7i∧+6j∧N                T=r→×F→=16K∧       ∴f…

Q: A particle is located at the point with coordinates (0, 3, 6) m, and the force acting on it is F=…

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Q: •27 SSM At one instant, force F= 4.0j N acts on a 0.25 kg object that has position vector r = (2.0i…

A: a) The angular momentum of the object is given by,

Q: Two uniform solid spheres have the same mass of 2.85 kg, but one has a radius of 0.236 m while the…

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Torque

Torque is the rotational equivalent of linear force in physics and mechanics. Based on the course of study, it is also known as the moment of force, rotational force, or turning effect.