4. Determine the moment of force F about point O. F = 500i - 400j + 600k. Express the result as a Cartesian vector. (Report final answers using 3 significant figures). %3D 0.4 m -0.5 m- 0.3 m

Q: Force F = -4.8 Ni+ 2.8 Nj acts on a small rock with a position vector r = 6.8 m i+ 2.2 mj relative…

A: Given:F→=-4.8i→+2.8j→r→=6.8i→+2.2j→To find:Torque T=??

Q: A heavy crate needs to be moved. A crane can provide the force I at the mounting point shown. a.)…

A:

Q: Calculate the torque about the z-axis that is out of the page at the origin in the following figure,…

A: Forces are vector quantity.

Q: 3. A particle located at the position vector r = (i+ I)m has a force F = (2i + 3j) N acting on it.…

A: The cross product of position vector and force. The unit of torque is newton-meterN·m.…

Q: 2) Match the following angular velocity              A.I, kg·m2     angular displacement        B.Δθ…

A: Angular velocity is defined as the change of angular position w.r.t. time.Angular displacement is…

Q: A particle is located at the vector position r= (3i + 5j + 7k) m and the force acting on it is F=…

A: The torque is given by, τ=r×F Substituting, τ=3i+5j+7km×2i-6j+3kN

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: 7. A force F acts in a direction of (3, 2, 1) N at a point (5, -3, 3) m from the origin. Provide all…

A:

Q: 1- Locate the centroid of the composite areas shown with respect to x and Y axes. All dimensions are…

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Q: Determine the moment of force F

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Q: Force F = -4.4 Ni+ 6.4 N j acts on a small rock with a position vector r = 3.1 m i+ 8.5 m j relative…

A:

Q: Find the combined moment of the forces P and Q about point O. The magnitudes of the forces are P =…

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Q: The moment of force about specified axis for F(-600, 200, -300) and r(0,0.2,0) with unit vector of…

A: r→ = (0 ,0.2 ,0) F→ = (-600,200,-300) x→ = (0.89,0.45,0) To find = Moment of force

Q: Q.5) For the composite area shown below. determine (a) The centroid of the area, (b) The area moment…

A: Centroid is the point inside or outside the body at which the whole of its mass is concentrated. It…

Q: 4. The position vector of a particle that lies in the xy plane and is given by (5.01 3.0f)m. A force…

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Q: Determine the moment of inertia ly (in.4) of the shaded area about the y-axis. Given: x = 4 in. y =…

A: Given values: x=4 iny=9 inz=4 inRadius, R=2 inx'=3 in

Q: The force of F = (2i-5j) N is acting on a particle whose position vector is r= (i +0.5j +2k) m…

A: Force on particle is F→=2i^-5j^ N Particle's position vector is r→=i^+0.5j^+2k^ m Find: Torque…

Q: 3. Find the moment of inertia of the area bounded by the cubic parabola a?y = x , the y - axis and…

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Q: What will be the cross product of the vectors 2i+3j+k and 6i+9j+3k ? * Oi+2j + k Oi-j-5k O 2i -j- 5k

A: Image_1

Q: Determine the location of the centroid. Determine the moment of inertia about horizontal and…

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Q: A 444-N force is applied at A as shown. y = 207 mm. Determine (a) the moment of the 444-N force…

A: Solution:-P=444 Ny=207 mm=0.207 m

Q: A 366-N force is applied at A as shown. y = 370 mm. Determine (b) the smallest force applied at B…

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Q: LU m 2. Sakuragi is spinning a basketball with a radius of 0.15 m on the tip of his finger.…

A: radius(R)=0.15m moment of inertia (I)=5.568 X 10-5 kgm2 basket ball is like a hollow sphere so its…

Q: 8. Calculate the torque vector of the following force (N) and position (m) vectors: 7 = 5î + 10j; F…

A: Given data: (a) The position vector is, r →= 5i^ + 10j^ The force vector is, F→ = 5i^ + 10j^ (b) The…

Q: point object with a mass of 150 g can move around a circular track that has a radius of 25 cm. What…

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Q: A force in the +y direction applied at the point x = 8.1 m, y = 8.1 m gives rise to a torque of 63.7…

A: Given data The x coordinate is given as x = 8.1 m. The y coordinate is given as y = 8.1 m. The…