2. Walking the dog - On your way to class you might have noticed that everyone was walking at more or less the same speed. In this question we will explore the reason for that. a) First, consider the leg as a physical pendulum, write down an expression for the natural angular frequency of oscillation of a simplified model fo
A device for training astronauts is designed to rotate the trainee in a horizontal circle of radius 10.8 m. If the force felt by the trainee is 7.30 times her own weight how fast is she rotating? I started with a=v2/R but can go no further. Where do I go from here?
What is torque?
A merry-go-round makes 60 revolutions in a 10.0 minute (600 seconds) ride. (a) What is the agular speed w(omega) in rad/sec? (b) What is the tangential speed of a person sitting 5.0 m from the center (axis of rotation)? (c) What centripetal acceleration does the person in part b have? (d) If the person's mass is 50 kg
A 0.050kg phonograph record with a radius of 0.15m drops onto a turntable and is soon rotating at 33 1/3 rpm. How much work must be supplied to get the record to rotate at this speed, and what supplies the work?
I have a 72" tall air-compressor that weights 120 pounds with a 20" base. I have a cart that is 36"wx72"l the surface of the cart where the compressor will be mounted is 10" off the ground. The cart wheels are in the corners, it is rated to carry 3600 pounds and weights 114 pounds. If the compressor is placed centered on the car
1) The figure (*see attachment) shows 11 paths through a region of uniform magnetic field. One path is a straight line; the rest are half circles. The table (*see attachment) gives the masses, charges and speeds of the 11 particles that take these paths through the field in the direction shown. Which path corresponds to which pa
Calculate the moment of inertia tensor for a solid hemisphere for rotation about its center of mass.
A 2-cm by 1.5-cm rectagler coil has 300 turns and rotates in a magnetic field of 4000 G. a) What is the maximum emf generated when the coil rotates a maximum 60 HZ? B) What must its frequency be to generate a maximum emf of 110 V? Please explain in detail. Thanks.
A helicopter blade has an angular speed of 6.50 rev/s and an angular acceleration of 1.30 rev/s^2. Find the magnitudes of the tangential speed and acceleration for a point (a) 3.00m from the center of rotation and (b) a point on the blade 6.70 m from the center of rotation.
A spring scale on a rotating platform indicates that the horizontal force on a 0.452 kg mass is 1.34N when the mass is 2.37m from the axis of rotation. How long does it take for the platform to make on revolution?
Please do not place your response in a .pdf or .cdx format, but Word documents are okay. Thanks! Please see attached for actual problem. Pressure in a Centrifuge A test tube filled with liquid of uniform density is spun in a centrifuge with angular frequency . The test tube lies perpendicular to the axis of rotatio
A disk of radius .3 meters and mass of .5kg is held over another disk of radius .5 meters and mass 1 kg which is rotating in a horizontal plane at a rate of 15.92 rev/sec. The top disk is released and drops onto the bottom disk (centers align). a) What is the final angular velocity (in rev/sec) of the two disks? b) What was
See attachment for picture. The particle has a mass of 0.5kg and is confined to move along the smooth horizontal slot due to the rotation of the arm OA. Determine the force of the rod on the particle and the normal force of the slot on the particle when theta = 30 deg. The arm has an angular acceleration of theta** = 3 rad/s
A baseball bat rests on a frictionless, horizontal surface. The bat a length of 0.900m, a mass of 0.800 kg, and its center of mass is 0.600m from the handle end of the bat. ThE MOMENT OF INERTIA OF THE BAT ABOUT ITS CENTER OF MASS IS 0.0530kg*m^2 The impact applies an impulse : J= integral from t2 to t1 of F*dt. at a po
Can you think of a body that has the same moment of inertia for all possible axis? If so, give an example, and if not, explain why it is not possible.
A cylinder with moment of inertia I about its center of mass, mass m, and radius r has a string wrapped around it which is tied to the ceiling. The cylinder's vertical position as a function of time is y(t). At time t=0 the cylinder is released from rest at a height h above the ground. **Please see attachment for complete q
Learning Goal: To understand the meaning of the variables that appear in the equations for rotational kinematics with constant angular acceleration. Rotational motion with a constant nonzero acceleration is not uncommon in the world around us. For instance, many machines have spinning parts. When the machine is turned on or o
An electric ceiling fan is rotating about a fixed axis with an initial angular velocity of 0.200 rev/s . The angular acceleration is 0.911 rev/s^2 . Its blades form a circle of diameter 0.720m . a) Through how many revolutions has the blade turned in the time interval 0.201s? b) What is the tangential speed v_tan (in m/s) of
Question: In an amusement park ride called The Roundup, passengers stand inside a 19.0m diameter rotating ring. After the ring has acquired sufficient speed, it tilts into a vertical plane, as shown in the figure (see attachment). A. Suppose the ring rotates once every 4.70s. If a rider's mass is 52.0kg, with how much force
1. The flux in a single-loop coil of area 37 cm^2 steadily changes from 6.5 x 10^-3 T to 9.3 x 10^-3 T in 0.50s. What emf is induced in the coil? 2. A wire coil of 25 turns has a cross-sectional area of 10 cm^2. The coil is placed in a uniform field of large magnet with B=0.20 T. The coil is suddenly rotated 90 degrees from a
A fantastic piece of engineering by General Electric was featured on "Predator", the mini-gun. Suppose Arnold holds the gun one foot (.300 meters) from his axis of rotation, firing perpendicular to said axis. His mini-gun shoots Russian 7.62x39 (8.11 grams, 671m/s) at cyclic rate of 3000 rounds per minute. What is the average fo
What is the frequency of the second hand of a clock? the minute hand? the hour?
Does a centripetal force that acts on an object rotating in a circular path do work on an object? What is your explanation, and what evidence can you cite to support your answer?
Please answer the question using these types of ideas. It is a conceptual question that needs a detailed explanation: If you should buy a quantity of gold in Mexico and weigh it careully on a spring balance, would the same quantity of gold weigh more, less, or the same if weighed on the same spring balance in Alaska? Defend you
Two balls with masses M and m are connected by a rigid rod of length L and negligible mass as in Figure P10.22. For an axis of rotation perpendicular to the rod, show that the system has the minimum moment of inertia when the axis passes through the center of mass. Show that this moment of inertia is I = L2, where =
A constant force F is horizontally applied to a wheel with mass m and radius r. The motion of the wheel is pure rotation and the acceleration of the center of mass of the wheel is a. Find the friction f beween the wheel and the ground.
A helicopter has 3 blades, each of them are 5.20m long and has a mass of 220kg.(each blade has a mass of 220kg, not the sum of the 3) The rotor is rotating at 385 rev/min. a)What is the rotational inertia of the rotor assembly about the axis of rotation? (Each blade can be considered to be a thin rod rotated about one end.)
Problem 1 A wheel of radius 0.20 meters is mounted on a frictionless horizontal axis. The rotational inertia of the wheel about the axis is 0.050 kgm^2. A massless cord wrapped around the wheel is attached to a 2.0 kg block that slides on a horizontal frictionless surface. If a horizontal force of magnitude P=3.0 N is applie
Please see attachments for my question about a rotating radar antenna's angular velocity. Please use i, j and k vector coordinates to solve.