The 60-kg homogeneous disk is placed on a frictionless inclined surface and held in equilibrium by the horizontal force P and a couple C (C is not shown on the figure). Find P and C.

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

A:

Q: The engine of the bus applies a torque of 328.2 N · m to a wheel of radius 0.538 m.  Since the wheel…

A: Given that, magnitude of torque provided by bus on wheel = 328.2 N-m since velocity is given…

Q: Consider a rod of total length 4 m that is free to pivot above its center. The linear mass density…

A:

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

A:

Q: The cable drum has amass of 685 kg with radius of gyration of 440 mm about its center O and is…

A:

Q: A rigid body is undergoing planar motion with the velocity of its center of mass vc = 2 m/s i + 5…

A:

Q: 1.565872597159 radian Using the supplied information and any appropriate assumptions and / or…

A:

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

A:

Q: Problems 7.42 and 7.43 The driveway gate is hinged at its right end and can swing freely The gate is…

A: Given:gate weight, W = 215 lbloap, P = 18.5 lbConsider the free-body diagram given below:…

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

A:

Q: A rigid, massless rod has three particles with equal masses attached to it as shown. The rod is free…

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

Q: In the assembly below the system can rotate around the vertical axis. The left part is a square…

A: given that,R=0.1 mm= mass of each bar=0.1 kgM=0.3 kgR'=0.2 mT=2…

Q: One of the curators at the art museum is tilting a large cylinder backward. At what angle q will the…

A: The figure of the situation can be drawn as below:

Q: A thin uniform rod AB of mass m and length L is hinged at one end A to the level floor. Initially it…

A:

Q: A box of mass m, =9.5 kg on a rough inclined plane of angle a = 42° is connected with a string of…

A: SOlution:Given that m1 = 9.5 kg m2 = 1.1 kg angle  =42 degree coefficinet of friction = 0.18…

Q: A solid cement cylinder with uniform density is being pulled horizontally by a horizontal force F,…

A: given data, mass of the cylinder , m = 47 Kg radius of the the cylinder , r = 0.75 m acceleration of…

Q: The engine of the bus applies a torque of 361.5 N · m to a wheel of radius 0.273 m.  Since the wheel…

A:

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: Rank the uniform rigid bodies below according to their angular accelerations, from least to…

A:

Q: O Determine the horizontal force, P, that must be applied to the center of steel with a mass of 800…

A: In this question we have to determine the horizontal force, P, that must be applied to the center of…

Q: A 1 kg ball is hung at the end of a rod 1 m long. If the system balances at a point on the rod 0.25…

A:

Q: a solid uniform ball with mass m and diameter d is supported against a vertical frictionless wall by…

A:

Q: The resultant of the three parallelforces P, 2P and 3P, with their corresponding locations, is…

A: Since all forces are parallel so magnitude of resultant R = P+2P+3P =6P  Now for position of R…

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: The forces F 3F and 5F are applied to the rectangular plate, which can rotate freely around point O…

A: Given information: The force (F) = 10 N The value of (d) = 1 m

Q: In applying the second condition of equilibrium, at what point must you place the axis of rotation…

A: In applying the second condition of equilibrium, at what point pivot is placed.

Q: A certain gyroscope consists of a uniform disk with a 50 cm radius mounted at the center of an axle…

A: The distance r from the center of the mass to the ground,

Q: A frisbee is moving through the air with a constant angular velocity of 10 cycles/s and a constant…

A: Given that,  The angular velocity and translation velocity are constant. The angular velocity is…

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: Find the net torque on the wheel in the figure below about the axle through O, taking a = 12.0 cm…

A:

Q: Two forces, F1=100 N (Newton) and F2=20N, are applied on opposite sides of a door's knob at angles…

A: Given:Force,F1=100 NForce,F2=20 NRotation axis ,r=0.8mAngle,θ1=30Angle,θ2=60Find the net torque…

Q: In the figure, a nonuniform bar is suspended at rest in a horizontal position by two massless cords…

A:

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: A wheel in the shape of a flat, heavy, uniform, solid disk is initially at rest at the top of an…

A:

Q: The force applied tangentially to a bar of a screw-jack at a radius of 250 mm, if the torque…

A: Given : Radius = 250 mm = 0.250 m Torque = 12 kN.m = 12000 N.m

Q: In the figure below, the disk, of mass 440 g and radius 3.5 cm, is rotating at 180 rpm on a…

A:

Q: A force F= 107 N is applied to a rigid body. If the moment arm with respect to a given point O is 5j…

A: Given, F→=10i^ Nr→=5j^ N

Q: For an object in equilibrium the net torque acting on it vanishes only if each torque is calculated…

A: For an object in equilibrium  it must be experiencing no acceleration i.e., both the net force and…

Q: A rod of massm and length I fits into a hollow tube of same length and mass. The tube is rotated…

A: The angular momentum (L) is a measure of the rotational motion contained in a body rotating about an…

Q: Let’s approximate the motion of a yo-yo with that of a solid cylinder with a string wrapped around…

A: Given data The string length is: H = 1.2 m The mass of the cylinder is: m = 0.1 kg The radius is: r…

Q: A wheel of mass M has radius R. It is standing vertically on the floor, and we want to exert a…

A: A wheel of mass M and radius R. It is standing vertically on the floor and we want to exert…

Q: The two balls are attached to the light rigid rod, which is suspended by a cord from the support…

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.