A square plate has mass 0.600 kg and sides of length 0.150 m. It is free to rotate without friction around an axis through its center and perpendicular to the plane of the plate. How much work must you do on the plate to change its angular speed (a) from 0 to 40.0 rad/s and (b) from 40.0 rad/s to 80.0 rad/s?
Q: 40kg disk wiht a radius of 30 cm is spinning around a fixed vertical axis with an angular speed of…
A: According to the work-energy theorem, the work done is defined as the change in energy. The…
Q: The rigid body shown in the figure consists of three particles connected by massless rods. It is to…
A:
Q: merry-go-round on a playground consists of a horizontal solid disk with a weight of 805 N and a…
A:
Q: A torque of 170 N.m does 4715 J of work on a rotating flywheel. If the flywheels initial kinetic…
A: Given : τ = 170 N.m W = 4715 J Ki = 1320 J
Q: A solid sphere, a thin spherical shell, and a solid cylinder each have a radius of 3 cm and a mass…
A: We know that the potential energy is given by U=mgh here m=mas g=acceleration due to gravity…
Q: In the figure, a wheel of radius 0.364 m is mounted on a frictionless horizontal axis. The…
A:
Q: A merry-go-round on a playground consists of a horizontal solid disk with a weight of 795 N and a…
A:
Q: A bowling ball of mass 7.28 kg and radius 10.5 cm rolls without slipping down a lane at 3.10 m/s .…
A:
Q: A flywheel is a solid disk that rotates about an axis that is perpendicular to the disk at its…
A:
Q: A uniform circular disc of mass m and radius R is rotating with angular speed w about an axis…
A: Given, θ=30° Kinetic energy, K=αmω2R2 I1=Izzcos30°I2=Ixxcos60°I1=Iyycos90°…
Q: A merry-go-round on a playground consists of a horizontal solid disk with a weight of 795 N and a…
A:
Q: A 30 g block sits at the center of a turntable that rotates at 65 rpm. A compressed spring shoots…
A:
Q: The figure shows a rigid assembly of a thin hoop (of mass m = 0.14 kg and radius R = 0.19 m) and a…
A:
Q: Three hoops roll down a hill. They all have the same mass, but one has radius R, one has radius 2R,…
A: Given, Three hoops with varius size of radius is roll down from the hill
Q: The turntable in a microwave oven has a moment of inertia of 0.038 kg⋅m2 and is rotating once every…
A: Given, moment of inertia =0.038 kg.m2time period T =5.0 secwe have to calculate the kinetic energy.
Q: A hoop has a mass of 315g and a radius of 2cm. It rolls, without sliding, along a level ground at…
A:
Q: A flywheel is a solid disk that rotates about an axis that is perpendicular to the disk at its…
A:
Q: In the figure, a wheel of radius 0.392 m is mounted on a frictionless horizontal axis. The…
A: GIVEN- wheel of radius= 0.392 m rotational inertia of the wheel about…
Q: The figure shows a thin rod, of length L = 2.60 m and negligible mass, that can pivot about one end…
A: Given data :- length of the rod L = 2.60 m mass of the rod M = 0 mass of the heavy ball m = 140 kg…
Q: a force 49.5 N tangentially to the edge of the disk to start it from rest. What is the kinetic…
A: GivenWeight of solid disk, W=795 NRadius of solid disk, r=1.47 mForce applied by child, F=49.5…
Q: The figure shows a rigid assembly of a thin hoop (of mass m = 0.30 kg and radius R = 0.17 m) and a…
A: Given :Mass of hoop, mh=0.30 kgRadius of hoop, R=0.17 mMass of rod, mr=0.30 kgLength of the rod,…
Q: A bowling ball of mass 7.24 kg and radius 10.7 cm rolls without slipping down a lane at 2.80…
A:
Q: A 7.0 kg steel ball of radius 4.0 cm rolls without slipping from rest down a hill of height 3.0 m.…
A:
Q: a rigid assembly of a thin hoop (of mass m = 0.25 kg and radius R = 0.19 m) and a thin radial rod…
A:
Q: A 0.551 kg cat sits at the end of a 16.9 kg, 10.7 m long beam. An accident occurs and the support…
A: Basic concept of physics.
Q: A flywheel is a disk that is 0.3 m in radius and has a mass of 15kg. Mechanical energy can be stored…
A:
Q: A wrench is used to tighten a nut. A 100-N force is applied 0.10 m from the axis of rotation. what…
A:
Q: The puck in the figure below has a mass of 0.120 kg. The distance of the puck from the center of…
A:
Q: A flywheel is a disk that is 0.3 m in radius and has a mass of 15kg. Mechanical energy can be stored…
A: The objective of the question is to find the angular speed required to spin the flywheel in order to…
Q: The figure shows a rigid assembly of a thin hoop (of mass m = 0.26 kg and radius R = 0.17 m) and a…
A:
Q: A uniform rod is set up so that it can rotate about an axis at perpendicular to one of its ends. The…
A:
A square plate has mass 0.600 kg and sides of length 0.150 m.
It is free to rotate without friction around an axis through its center and
perpendicular to the plane of the plate. How much work must you do
on the plate to change its angular speed (a) from 0 to 40.0 rad/s and
(b) from 40.0 rad/s to 80.0 rad/s?
Trending now
This is a popular solution!
Step by step
Solved in 2 steps
- A hollow sphere is released from rest at the top of the ramp at the height of 0.21 m. The hollow sphere rolls down the ramp (height at the bottom is 0.05m) to a distance of 1.00 m in 1.192 seconds. The angle of the incline is 15 degrees. There is only potential energy at the top and only Kinetic energy at the bottom of the ramp. Please calculate the linear speed at the bottom of the ramp. Assume that the acceleration is not 9.8 m/s2. Find the value for the height by the difference in height from where the sphere was released to where the bottom is located. Calculate the translation speed of the hollow sphere at the bottom of the ramp using conservation of energy equations.The figure shows a rigid assembly of a thin hoop (of mass m = 0.24 kg and radius R = 0.16 m) and a thin radial rod (of length L = 2R and also of mass m = 0.24 kg). The assembly is upright, but we nudge it so that it rotates around a horizontal axis in the plane of the rod and hoop, through the lower end of the rod. Assuming that the energy given to the assembly the nudge is negligible, what is the assembly's angular speed about the rotation axis when it passes through the upside-down (inverted) orientation? Number i Rod Hoop ! Rotation axis UnitsA person opens a 7.25 kg door by applying a force of 12.5 N perpendicular to it at a point 0.85 m from the hinges. The door measures 2,25 m high and 1.15 m wide. Find the angular acceleration of the door. If the door is pushed wide open by 75,0° in 2.0 s, find the work done on the door and the power delivered to the door.
- A large door is a uniform rectangle, with height h and width w and mass m, which is free to rotate about one long side. What is the smallest force required to open the door with constant angular acceleration a? Parameters: h = 2.70 m; w = 1.30 m; m = 50 kg; a = 0.30 rad/s^2. (in N) OA: 0.883 OB: 1.174 OC: 1.562 OD: 2.077 OE: 2.763 OF: 3.675 OG: 4.887 OH: 6.500A hollow ball has a radius of 2.47cm and a mass of 7kg and is rolling, it is traveling with a translational speed of 8m/s. What is its kinetic energy?A double radius pulley is attached to a wall by an axle of negligible friction and is initially at rest. Two vertical forces,both with magnitude F1P = F2P =19 N, are applied at the radii R1 =0.4 m and R2 =1 m as shown. Determine the kinetic energy of the pulley after it has undergone one full rotation.
- A 24 g block sits at the center of a turntable that rotates at 80 rpm. A compressed spring shoots the block radially outward from the center along a frictionless groove in the surface of the turntable. Calculate the turntable's angular speed when the block reaches the outer edge. Treat the turntable as a solid disk with mass with mass 200 g and diameter 54.0 cm. Express your answer in revolutions per minute.A cord is wrapped around a pulley that is shaped like a disk of mass m and radius r. The cord's free end is connected to a block of mass M. The block starts from rest and then slides down an incline that makes an angle O with the horizontal as shown in the figure below. The coefficient of kinetic friction between the block and the incline is µu. (a) Use the concepts of energy to find an expression for the block's speed as a function of position, d, down the incline. (b) Find the magnitude of the acceleration of the block in terms of µ, m, M, g and O. m,r, MCalculate the magnitude of the cross product of the following two vectors: b = 2j + 5k = (0 ,2,5) å = 1î + 3ĵ = (1,3,0) , b= 2ĵ + 5k = (0 ,2 , 5)
- The radius of a wheel is 0.890 m. A rope is wound around the outer rim of the wheel. The rope is pulled with a force of magnitude 5.00 N, unwinding the rope and making the wheel spin CCW about its central axis. Ignore the mass of the rope. (a) How much rope unwinds while the wheel makes 1.00 revolution? ___m (b) How much work is done by the rope on the wheel during 1.00 revolution? ___J (c) What is the torque on the wheel about its axis due to the rope? ____N⋅mIn the figure, three 0.10 kg particles have been glued to a rod of length L = 11 cm and negligible mass and can rotate around a perpendicular axis through point O at one end. How much work is required to change the rotational rate (a) from 0 to 20.0 rad/s, (b) from 20.0 rad/s to 40.0 rad/s, and (c) from 40.0 rad/s to 60.0 rad/s? (d) What is the slope of a plot of the assembly's kinetic energy (in joules) versus the square of its rotation rate (in radians-squared per second-squared)? Axis -P--P-- P- (a) Number i Units (b) Number i Units (c) Number i Units (d) Number i UnitsA uniform solid cylinder is initially at rest at the top of a ramp of height 1.5 m. If the cylinder rolls down this ramp without slipping, what will be its speed at the bottom? Why don't you need to consider the work done by friction? Explain your reasoning in detail.