A force P intersects the X axis at 4 ft to the right of O. If its moment about A is 170 ft-lb counterclockwise and its moment about B is 40 ft-lb clockwise, determine its y intercept. 6" B.

Q: If the length of the rod AB is 15 inches, and that a=25degrees, calculate the moment (Ib-in) about…

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Q: Solve For the moment of Force F about the 'point D,E,F F=500 N A 3m Am

A: Let n denotes the unit vector along the force.

Q: This book has three symmetry axes through its center, allmutually perpendicular. The book’s moment…

A: Given data *The mass of the book is m *The length of the book is l *The width of the book is w

Q: Determine the moment of the force about point O. 3 ft 1 ft 45° 1 sin 45° ft 60 lb

A: Moment of force=Force*perpedicular distance from axis of rotation to line of action.

Q: For the given figure, the weight of the bar is 5 lb and the total length is 14 ft. The moment, in…

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Q: Given the two vectors r and F shown above, choose the direction of the resulting torque vector. A.…

A: The direction of torque can be determined using right hand rule.

Q: A nonrotating cylindrical disk of moment of inertia, I, is dropped onto an identical disk rotating…

A: Given data The moment of inertia of the cylindrical disk is I. The angular speed of the disk is…

Q: perpendicular to a handle whose length is (6i -4j +3k) cm. Torque= 8. Plot the trajectories of the…

A: The rod when projected at a given angle with the horizontal follows a projectile motion.  The…

Q: ABCD is rectangle in which AB=CD=100mm and BC=DA=80mm. Forces of 100N each act along AB and CD and…

A: Draw the figure for the given condition. Apply the condition of equilibrium, ΣFH = 100 – 100 = 0…

Q: 2ft Ri 本 2F Rz

A: Solution: given that three equal force P are applied on the span of simply supported beam, to find…

Q: 3. A force F = (6+m)î – (3 + n)j – R passes through the point B whose position vector is b = i - (4…

A: Force F→=(6+m) i^-(3+n) j^-k^  b→=i^-(4+m) j^+k^ a→=-i^-3 j^+(5+n) k^

Q: A disc of mass m and radius R has a concentric hole of radius r. Find the moment of inertia about an…

A: Introduction: A disc with concentric hole is known as annular disc having two different radii.…

Q: Determine the moment of I uertia Sor the shooled Arece shown iu the followiug Figure the X-axis?…

A: We have to use the basic formula here.

Q: Find the moment of force of 30N about an axis of rotation at distance 0.5m from the force.

A: Given Data:- The force is f = 30N The distance of the force from axis of rotation is d = 0.5m.

Q: Determine by direct integration the moment of iner- tia of the triangular area about the y-axis.

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Q: - The moment of a certain force ( F) is ( 180 N.m ) clockwise about (0 ) and ( 90 N.m)…

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Q: What do you understand by clockwise and anticlockwise moment of force? When is it taken positive?

A: When force applied on a body tends to rotate the body, moment of force is calculated. The moment is…

Q: Given, Tr = Tlr = Tlsin(0), at what angle 0 will torque be maximized?

A: As we know..  torque = r×F torque = rFSin(theta) ;

Q: The position vector of a particle relative to a certain point has a magnitude of 3 m, and the force…

A: Given Magnitudes Force |N| = 4 N Position vector |r| = 3 m

Q: CON

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Q: Question 4. A solid disc of radius R, cm) is freely rotating about a rotation axis passing through…

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Q: Compute the combined moment of the two 80-lb forces about (a) point O and (b) point A. The moment is…

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Q: Calculate the magnitude of the angular momentum vector Of the moti on given by it's position P=…

A: SOlution: Given that r = 2i-3j m v = 4i m/s m = 1.5 kg

Q: Compute the moment (positive if counterclockwise, negative if clockwise) of the 0.54-lb force about…

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Q: 1.8 m F = 9.2 N

A: The force F = 9.2 N  The r = 1.8 m  Find:-  Torque. Indicate both magnitudes, including units, and…

Q: Find the Moment of in ertia of a regu lar solid circular cone of height (b)

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Q: Determine the resultant moment of the forces shown about point O. 28 22 20 30 45 30 45 26

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Q: Computing torque Answer the following questions about torque.

A: First Case Torque will be given by following formula: τ→=r→×F→τ→=10i^×5i^-5k^τ→=50j^ N-m

Q: Q. 4 If the resultant moment about point A is 4800 N.m clockwise, determine the magnitude of F, if…

A: (4) Given: Resultant moment, F= 4800 Nm Force, F1 = 300 N Force, F2 = 400 N

Q: A par ticle is located at position r=39+7g+4€ m with respect to the origin. It has linear momentum…

A: The position of a particle is, r→=3i^+7j^+4k^  m The linear momentum of the particle is, p→=-i^+9k^…

Q: In the figure shown below, the moment of a certain force F is 240 ft-lb 4. clockwise about O and 130…

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Q: In the fig. shown, compute the following: (a) Components of the centroid ; = r= 38 in. 16 in. (b)…

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Q: solve for the moment of the 50N force about point

A: The force applied along the line AB is given as, The resolution of the force in the horizontal and…

Q: Determine the moment of the force about point O. 3 Et 30 60 lb 6 t

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Q: ABCD is rectangle, in which AB = CD = 100 mm and BC = DA = 80 mm. Forces of 100 N each act along AB…

A: Draw the figure for the given condition.

Q: Q1. Determine the resultant moment +be fig show n below: 200N 本1m 3 m 70 SOON

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Q: A thin uniform rod of length 0.7 m and mass M rotating horizontally at 70.6 rad/s counterclockwise…

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Q: 32 53N 3. Calculate the net torque on the 2 meter long beam below about 43 (a) point C, which is the…

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Q: The baton of a majorrete is a uniform rod mass 250g and length of 64cm. What is the moment of…

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Q: 5 CM For the composite shape, Determine the moment of înertias about the centroid axes, x' and 5 om…

A: Consider the large triangle as section 1, rectangle as section 2, and small triangle as section 3.…

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

A: Given Data: The points are  (1, −2, 1) and (1, 1, −3). The force is, F = 2i − j + 3k. Torque is…

Q: Determine the total moment at A. SIGN CONVENTION: + ÇCW CW 25 N 65 N A B 15 N 1.5 m 2 m 1 m

A: The moment of forces or torque is given by  τ=r→×F→ when r→⊥F→, the magnitude of moment is τ=rF…

Q: 600 N NOCS-

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Q: F,6N F-6N 30 2m F4N Find the resultant moment about point O. (ANS: 4Nm, CCW) 6.

A: According to Newton's second law of motion, thee net force acting on an object is defined as the…

Q: Determine the moment of force F about point O. Express the result in rectangular form. F= 120 lb 1…

A: moment = r→×F→

Rigid Body

A rigid body is an object which does not change its shape or undergo any significant deformation due to an external force or movement. Mathematically speaking, the distance between any two points inside the body doesn't change in any situation.

Rigid Body Dynamics

Rigid bodies are defined as inelastic shapes with negligible deformation, giving them an unchanging center of mass. It is also generally assumed that the mass of a rigid body is uniformly distributed. This property of rigid bodies comes in handy when we deal with concepts like momentum, angular momentum, force and torque. The study of these properties – viz., force, torque, momentum, and angular momentum – of a rigid body, is collectively known as rigid body dynamics (RBD).