A uniform slender rod of length L = 36 in. and weight W = 4 lb hangs freely from a hinge at A. If a force P of magnitude 1.5 lb is applied at B horizontally to the left (h = L), determine (a) the angular acceleration of the rod, (b) the components of the reaction at A.

Q: A cord is wrapped around a solid uniform wheel (Icm = 1/2MR^2) with radius of 1.50m and mass of 12.0…

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Q: A uniform wheel of mass 10.0 kg and radius 0.400 m is mounted rigidly on an axle through its center…

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Q: Find the moment of inertia with respect to the y-axis of a thin sheet of constant density d = 1…

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Q: A cylindrical spool with mass m, radius R and moment of inertia Icm about its axis, is being pulled…

A: Given data The mass of the cylindrical spool is m The radius of the cylindrical spool R The moment…

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 meterstick is oriented in space parallel to the unit vector given by r̂ = 2/15 î + 10/15 ĵ + 11/15…

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Q: A uniform wheelof mass 10.0 kg and radius0.400 m is mounted rigidlyon a massless axle throughits…

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Q: Let F be a force acting on an object, and let r be a position vector from a rotational center to the…

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Q: A homogeneous steel wheel of radius R and mass M rolls without slipping on a horizontal rail, as…

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Q: If the angular acceleration of a rigid body is zero, what is the functional form of the angular…

A: Write the expression for the relation between the angular acceleration and the angular velocity of a…

Q: The thin uniform rod haslength 2.0 m and can pivot about a horizontal,frictionless pin through one…

A: Initial potential energy of rod is, The kinetic energy at the horizontal position,

Q: The magnitude of net torque (in N.m) about a point at coordinate 7 = (2î + 17) m when two forces F,=…

A: Given data: The position coordinate of the point about which the net torque is to be found out, .…

Q: A vector force with components (1, 2, 3) acts at the point (3, 2, 1). Find the vector torque about…

A: Given: The component pf force is F=(1,2,3). The component of point is r=(3,2,1). At origin ro=…

Q: A rigid body is made of threeidentical thin rods, each with lengthL = 0.600 m, fastened together in…

A: The length of each rod,   The mass of each rod,

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: A disk of radius R= 25 cmis mounted in the horizontal plane and can rotate around a fixed axis that…

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Q: A uniform cylinder with mass m.= 2 kg and radius R= 1.5 m lies on top of a long board which has mass…

A: Given that:mc=2 kgR=1.5 mmb=4 kgvo=8 m/sμ=0.2 I=12mcR2 g=10 m/s2 We need to determine: The speed of…

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: The uniform slender bar rests on a smooth horizontal surface when a force F is applied normal to the…

A: Given: linear acceleration = 20 m/s2 angular acceleration = 6 rad/s2

Q: The magnitude of net torque (in N.m) about a point at coordinate 7 = (2î + 1) m when two forces :F =…

A: Given : F1→=7j^NF2→=(1i^-3j^)NPosition vector, r→=(2i^+1j^)m

Q: For rolling without slip, the acceration of a circular disk on an incline plane a=r(alpha) where…

A: When rolling occurs without slipping then the linear velocity of center of mass is, vcm=rω Here, r…

Q: The magnitude of net torque (in N.m) about a point at coordinate 7 = (2î + 2î) m when two forces F,…

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Q: A thin rod of mass m = 3 kg and length L = 0.5 m is attached at one end to a hinge on a wall. It is…

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Q: A uniform solid disk with radius 11 cm has mass 0.5 kg (moment of inertia I = ½MR2). A constant…

A: a)The of the angular momentum about the center of the disk is,

Q: Q. 2 The angular acceleration of an rotating body is define by the relation a = - k0. Determine a)…

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Q: Find the net torque on the wheel in Figure about the axle through O, taking a=10.0 cm and b=25.0 cm.

A: Given the value of 'a' = 10 cm. Given the value of 'b' = 25 cm.

Q: Consider the force vector F=. If the magnitude of the torque T=OP*F is equal to the area of the…

A: Given Force vector:  F=<1,1,1/2> Torque: T=OP·F Also, the magnitude of the torque is equal to…

Q: A 255-lbr block is suspended from an inextensible cable which is wrapped around a drum of 1.75-ft…

A: Given: The weight of the block is 255-lbf. The radius of the drum is 1.75 ft. The moment of inetia…

Q: A cylindrical spool with mass m, .radius R and moment of inertia Icm about its axis, is being pulled…

A: Given quantities: mass = m radius = R moment of inertia = ICM Let, the acceleration of the spool be…

Q: In unit-vector notation, what is the torque about the origin on a particle located at coordinates…

A: GivenPosition of particle,  0,-4.3m, 3.14m

Q: Calculate the m.і. of a thin uniform rod of the mass 100g and length 60cm about an axis…

A: Given : Mass of rod=M=100g=0.1kg, length of rod=l=60cm=0.6m. Moment of inertia of the thin uniform…

Q: A lamina is bounded by y=e and the lines y=0,2 = 0, and r= 1 with density 8(x, y) = y. Find the…

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Q: In unit-vector notation, what is the net torque about the origin on a flea located at coordinates…

A: The net force is,

Q: Calculate the torque (magnitude and direction) about  point O  due  to  the  force  FS  in  each  of…

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Q: find the moment of inertia of a uniform rod of mass m and length 2a about a rim passing through an…

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Q: 43 SSM ww The uniform solid Rotation block in Fig. 10-38 has mass 0.172 kg axis and edge lengths a =…

A: Mass of the solid block,

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: A uniform, solid sphere of radius 4.75 cm and mass 5.00 kg starts with a purely translational speed…

A: Given Data: The radius of the sphere is, r = 4.75 cm. The mass of the sphere is, m = 5 kg. The…

Q: A particle is located at the position vector r = (7.00Î + 10.00ĵ) m and a force exerted on it is…

A:

Rotational Equilibrium And Rotational Dynamics

In physics, the state of balance between the forces and the dynamics of motion is called the equilibrium state. The balance between various forces acting on a system in a rotational motion is called rotational equilibrium or rotational dynamics. 

Equilibrium of Forces

The tension created on one body during push or pull is known as force.