Show that, in general, a wrench can be replaced with two forces chosen in such a way that one force passes through a given point while the other force lies in a given plane.

Q: F= 500 N 5 m 4 m

A: Here we need to find the moment of force acting about point A, The is acting at point B and the line…

Q: x Initially h is 268mm, Mass = 11 kg, k= 242 N/m and has unstretched length= 135 mm. Find the…

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Q: An ice hockey player hits a puck on a horizontal ice rink from a position (-10, -15) m on the x, y…

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Q: )A group of Vestas V-100-1.8 wind turbines can be seen on the drive between Pullman and Spokane…

A: Given data l=50 mV=9.84 m/sρ=1.2 kg/m3 Here, L is the length of the blade. While V represents the…

Q: Centroid of the quarter arc of uniform weight with radius R,

A: It is given by

Q: An object set on top of a tripod is supported by the tripod. Assume that the tripod's legs meet at…

A: Given, An object set on top of a tripod is supported by the tripod. The position of the tripod's…

Q: The sphere at A is given a downward velocity v0 and swings in a vertical circle of radius I and…

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Q: (b) Find out (i) Centroid, (ii) Area-moment of inertia of a triangular lamina of base b and height h…

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Q: Three forces A, B, C corresponding to three steel cables are acting on a joint, as shown. Force…

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Q: (a) For a constant force, describe the orientation between the force vector and the displacement…

A: (a) Work done by constant force = Fdcosθ , where F is force and d is displacement and θ is angle…

Q: A block of 1:6 kg mass is on a plane inclined to 50 for which the kinetic friction coecient is c =…

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Q: Find the torque about the origin when a force of 3j N acts on a particle whose position vector is 2k…

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Q: When the ring is right in the center, why must the sum of the forces on the ring add up to zero?

A: When the ring is centered then the only forces acting on it are the tensions. These are concurrent…

Q: Given below is a diagram of a conical pendulum which is used by a student and its procedure is shown…

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Q: A ball is launched at an angle of 45° from a cliff above level ground below. When it is released, it…

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Q: An ice hockey player hits a puck on a horizontal ice rink from a position (-10, -15) m on the x, y…

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Q: Show that the rotational inertia of a rectangular plate of sides a and b about an axis perpendicular…

A: The perpandicular axis thorem to calculate the moment of inertia is

Q: A particle of mass 0.1kg moves in a circular path on a horizontal frictionless plane, attached…

A: Given data:  Mass of particle (m) = 0.1 kg Maximum tension force (T) = 1N Radius of circular path…

Q: A large symmetrical drum for drying sand is operated by the geared motor drive shown. If the mass of…

A: Given, Mass of sand, m=670 kg Average gear tooth force F=1.85 kN r=170 mm R=505 mm θ=16° Weight of…

Q: Two point masses of 0.3 kg and 0.7 kg are fixed at the ends of a rod of length 1.4 m and of…

A: We are aware that a 1.4 m-long rod of negligible mass has two fixed point masses of 0.3 kg and 0.7…

Q: Find the torque about the origin when a force of 31 N acts on the particle whose position vector is…

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Q: The constant tensions of 200 N and 160 N are ap- plied to the hoisting cable as shown. If the…

A: Given: Initial velocity v1=-2 m/s taking negative sign for downward direction.  final velocity v2=v…

Q: (b) How does divergence of a vector "V" remain invarlant under the rotation of 5 system of…

A: Divergence of a vector is a scalar; and a scalar is a constant and doesn't change under rotations.…

Q: a) A pivot is placed under the beam at x = 5. Calculate the total torque around the pivot and state…

A: Given, |F1| = 45N |F2| = 40 N θ1 = 400 θ2 = 250  length of beam L = 12m pivot is at x = 5

Q: (a) Calculate the force (in N) the woman in the figure below exerts to do a push-up at constant…

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Q: A thin rod of mass m and length L is released from rest from a nearly upright position, let’s say θ…

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Q: In the baggage claim area of an airport, a particular baggage carousel is shaped like a section of a…

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Q: The figure shows a conical pendulum, in which the bob (the small object at the lower end of the…

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Q: A uniform circular disc of mass m = 5 kg and radius R=0.3 m may rotate about its fixed center of…

A: Answer:   aA = i 293.2 - j 6.7 Where i and j are unit vectors along x and y axes respectively.

Q: I need the answer to this question

A: Given thatmass, m=500 kgRadius of gyration , K=200 mmN=250 rpmWe know,ω=2πN60=2π×25060=26.17…

Q: A spring with spring constant k and equilibrium length zero is attached to the top of a frictionless…

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Q: Provide a written answer

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Q: A puck of m = 0.049 kg is attached to a taut light cord passing through a small hole in a…

A: Here, Vi =1.60 m/s Vf = m=0.049 kg R=0.320 m r =0.130 m

Q: In an upright standing frictionless hollow cylinder (radius R), a Isphere (point mass m) is inserted…

A: Given, Radius of Cylinder = R mass of sphere = m Initial velocity of sphere = vo Height of Cylinder…

Q: Consider a beam of length L with a fulcrum x meters from one end (see figure). There are objects…

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