An electric motor exerts a constant torque of τ=10N⋅mτ=10N⋅m on a grindstone mounted on its shaft; the moment of inertia of the grindstone is I=2.0kg⋅m2I=2.0kg⋅m2. If the system starts from rest, find the work done by the motor in 8.0 ss and the kinetic energy at the end of this time. What was the average power delivered by the motor?

Q: Two wheels of moment of inertia 2.0 kg m and 1.0 kg.m are set in rotation with angular speed 6.4…

A:

Q: In the figure, two blocks, of masses m=1.69 (kg) and M=3.65 (kg), are connected by a light string…

A:

Q: A thick cylinder of inner radius 10 cm and outer radius 50 cm rolls at 4 m/s without slipping. If…

A: Given data The inner radius of the cylinder is ri = 10 cm. The outer radius of the cylinder is ro =…

Q: A hollow ball having a mass of m=5.00kg and a moment of inertia of (2/3)mr² rolls a distance d =…

A: Apply principle of conservation of energy…

Q: Two wheels of moment of inertia 4.4 kg.m² and 4.4 kg.m² are set in rotation with angular speed 4.5…

A: The situation provided in the question reassembles the condition of inelastic collision. Thus, apply…

Q: A turntable with a moment of inertia of 0.028 kg∗m^2 rotates freely at 3.3 rad/s. A circular disk of…

A: Given data The initial moment of inertia of the turntable is Ii_t = 0.028 kgm2 The initial angular…

Q: Rigid rods of negligible mass lying along the y axis connect three particles. The system rotates…

A: Total kinetic energy is,

Q: In the figure below, two particles, each with mass m = 0.88 kg, are fastened to each other, and to a…

A: the figure below, two particles, each with mass m = 0.88 kg, are fastened to each other, and to a…

Q: Two wheels of moment of inertia 4.2 kg.m? and 3.6 kg.m2 are set in rotation with angular speed 2.1…

A:

Q: Two wheels of moment of inertia 8.6 kg.m and 13 kg m² are set in rotation with angular speed 2.1…

A: The situation provided in the question reassembles the condition of inelastic collision. Thus, apply…

Q: In the figure, two particles, each with mass m = 0.80 kg, are fastened to each other, and to a…

A: mass of particles , m = 0.8 kg mass of rod , M = 1.1 kg Angular speed , ω = 0.34 rad/s d = 5.4 cm =…

Q: A heavy swing door has a mass of  m = 8,000 kg,  a width  w = 1.0 m,  and a height  H = 3.9 m.…

A: a) The required net torque is,

Q: (a) How much of this initial kinetic energy is rotational? (b) What is the speed of the center of…

A: Hello. Since your question has multiple sub-parts, we will solve the first three sub-parts for you.…

Q: A 2.0-kg solid cylinder 1radius = 0.10 m, length = 0.50 m2 isreleased from rest at the top of a ramp…

A: Given, Mass of the cylinder, m = 2.0-kg The radius of the cylinder, r = 0.10 m The length of the…

Q: Two uniform solid cylinders, each rotating about its central (longitudinal) axis, have the same mass…

A:

Q: Each wheel of a 300-kg motorcycle is 61 cm in diameter and has rotational inertia 1.5 kg·m2. The…

A: Given : Total Mass, M  =  (300+72) = 372 kg Diameter of wheel, D  =  61 cm  =  0.61 m Radius of the…

Q: Find the rotational inertia of the following masses with respect to the y-axis: m1=1.0,…

A: If the perpendicular distance of  mass m from the axis of rotation is r then moment of inertia or…

Q: A car is designed to get its energy from a rotating flywheel in the shape of a uniform, solid disk…

A:

Q: Of a smooth rod of mass M and length L, whose thickness is neglected; a) Find the moment of inertia…

A:

Q: A uniform solid sphere rolls along a horizontal frictionless surface at 25 m/s and makes a smooth…

A: Given: The mass of the sphere is M. The radius of the sphere is r. The velocity of the sphere is 25…

Q: A centrifuge has a rotational inertia of 5.50 × 10−3 kg m2. How much energy must be supplied to…

A:

Q: A uniform solid sphere rolls along a horizontal frictionless surface at 20 m/s and makes a smooth…

A:

Q: Consider a basketball player spinning a ball on the tip of a finger. If a player performs 1.93 J of…

A: According to the work energy theorem, the rotational kinetic energy of the ball is equal to the work…

Q: Rigid rods of negligible mass lying along the y axis connect three particles.: m; =4kg at (0,3)m,…

A: Angular speed= 8 rad/s to find= kinetic energy of the system

Q: Rigid rods of negligible mass lying along the y axis connect three particles.: m1=4kg at (0,3)m,…

A: 310.96 J

Q: An object that rolls without slipping will have both translational and rotational kinetic energy. If…

A:

Q: Find the rotational inertia of the following masses with respect to the z-axis: m1=4.5,…

A:

Q: The solid spherical Earth has a mass M=6.0x1024 kg, a radius R=6.37x106 m, and orbits the Sun at a…

A:

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

A:

Q: Two blocks of mass ma=9.8kg and mg=7.4kg are attached to the ends of a massless string which passes…

A: Given data: Mass of the block , m1 = 9.8 kg Mass of the block m2 = 7.4 kg Coefficient of friction Uk…

Q: The specifications for a ceiling fan you have just bought indicate that the total moment of inertia…

A: Given data: Moment of inertia (I) = 0.17 kg.m2 Torque (τ) = 2.6 N.m Angular velocity (ω) = 320…

Q: Suppose a 71-kg person stands at the edge of a 6.4- m diameter merry-go-round turntable that is…

A: Angular momentum before the person starts running is equal to the angular momentum after the person…

Q: The rigid body shown in the figure consists of three particles connected by massless rods. It is to…

A:

Q: A wheel of radius 0.427 m is mounted on a frictionless horizontal axis. The rotational inertia of…

A: From Newton’s second law of motion, the force equation for the system is:

Q: A smooth rod of mass M, length L= 1 (m), is rotated at one end with a constant angular velocity w =…

A: Answer = ( Option D ( 0.24 )

Q: heavy swing door has a mass of m = 8,500 kg, a width w = 1.0 m, and a height H = 3.8 m. The door…

A:

Q: In the figure, two blocks, of masses 2.00 kg and 3.00 kg, are connected by a light string that…

A: Moment of Inertia: moment of inertia is defined as the property of a body that resists the angular…

Q: A uniform solid sphere rolls along a horizontal frictionless surface at 15 m/s and makes a smooth…

A:

Q: Yo-Yo man releases a yo-yo from rest and allows it to drop, as he keeps the topend of the string…

A:

Q: A typical helicopter with four blades rotates at 240 rpm and has a kinetic energy of 3.45 105 J.…

A: The kinetic energy, KE=3.45×105 J   The angular speed, ω=240 rpm×2π rad1 rev×1 min60 s=25.13 rad/s

Q: A turntable (disk) of radius r = 27.0 cm and rotational inertia 0.440 kg · m2 rotates with an…

A:

Q: The rigid body shown in the figure consists of three particles connected by massless rods. It is to…

A:

Q: A pendulum consists of a rod of length 2 m and mass 4 kg with a solid sphere of mass 9 kg and radius…

A:

Q: A block of mass mmm = 1.7 kg is attached to a string that is wrapped around the circumference of a…

A: Given, mass m = 1.7 kg radius r = 8.7 cm = 0.087 m linear speed v = 0.33 m/s.  height of h = 7.6 cm…

Q: A thin, 20-gram hoop with a radius of 2 meters is rolling without slipping, initially along a level…

A: A thin 20gram hoop with a radius  of2m. Centre of mass is moving at 20m/s and rotational speed is…