Physics Rotational Mechanics Level: High School
A uniform ball with a mass of 125 grams is rolling without slipping along the horizontal surface of a table with a speed of 4.50 m/s when it rolls of the edge and fails towards the floor , 1.10m below . What is the rotational kinetic energy of the ball just before it hits the floor ?
Physics Rotational Mechanics Level: High School
A 3.50 g bullet , traveling at 250 m/s hits a hinged , light board at a right angle a distance of 65.0 cm from its hinges and emerges on the other side of the board with a speed of 150 m/s . The board is initially stationary , is free to rotate about its hinges and has a moment of inertia of 0.275 kg X m squared . What is the angular speed of the board after the bullet emerges ?
Physics Rotational Mechanics Level: High School
Each of a pair of binary stars with individual mass (M) is in circular orbit of radius (R) . The system’s center of mass is at rest . What is the speed of each star in terms of G , M and R ?
Physics Rotational Mechanics Level: High School
A uniform solid cylinder of mass 100.0 kg and radius 50.0 cm is mounted so it is free to rotate about an axis that passes through the centers of its circular ends (Like a toilet paper roll core , only solid) A 10.0 kg block is hung from a massless cord wrapped around the cylinder’s circumference . When the block is released the cord unwinds and the block accelerates downward . What is the block’s acceleration ?
Physics Rotational Mechanics Level: High School
Equilibrium
A uniform rod is placed such that its lower end rests on rough floor and its upper end rest against perfectly smooth wall . The angle between the rod and the floor is theta. Show that the minimum coefficient of static friction between the rod and the floor is ½ tan theta .
Physics Rotational Mechanics Level: High School
A coin of mass (m) rests on a turntable some distance (r) from the axis of rotation . The turntable rotates with angular velocity (w) . Derive an expression in terms of these “givens” for the minimum coefficient of static friction between the turntable and the coin, if the coin is not to slip .
Physics Rotational Mechanics Level: High School
A CD has a mass of 17 g and a radius of 6.0 cm. When inserted into a player , the CD starts from rest and accelerates to an angular velocity of 21 rad/s in 0.8s . Assume the CD is a uniform solid disk , determine the net torque acting on it .
Physics Rotational Mechanics Level: High School
A CD has a mass of 17 g and a radius of 6.0 cm. When inserted into a player , the CD starts from rest and accelerates to an angular velocity of 21 rad/s in 0.8s . Assume the CD is a uniform solid disk , determine the net torque acting on it .
Physics Rotational Mechanics Level: High School
Equilibrium
A 10000 kg bridge of length 10m is supported at both ends . If a 2000 kg car is parked on the bridge 3.0 m from the left support, what are the supporting forces at the left and right ends ?
Physics Rotational Mechanics Level: High School
The period of the Moon’s rotation is same as the period of its revolution : 27.3 days (sidereal) . What is the angular momentum for each rotation and revolution? (Because the periods are equal we see only one side of the Moon from Earth .)
Physics Rotational Mechanics Level: High School
A bike wheel has a diameter of 0.80m and a mass of 2.0 kg .(a) If the bike travels with a linear speed of 1.5m/s , what is the angular speed of the wheel ?
(b) What is the angular momentum of the wheel ? (Consider the wheel to be a thin ring . )
Physics Rotational Mechanics Level: High School
A 4kg mass is hung from a string which is wrapped around a cylindrical pulley . If the mass accelerates downward at 4.90m/s^2 , what is the mass of the pulley ?
Physics Rotational Mechanics Level: High School
A 1.8 kg solid disk pulley of radius 0.11 m rotates about an axis through its center.(a) What is its moment or inertia ?
(b) Starting from rest , a torque of 0.22 N m will produce what angular acceleration?
Physics Rotational Mechanics Level: High School
An 82.0 kg painter stands on a long horizontal board 1.55 m from one end. The 15.5 kg board is 5.50 m long. The board is supported at each end .(a) What is the total force provided by both supports ?
(b) With what force does the support , closet to the painter , push upward ?
Physics Rotational Mechanics Level: High School
A bicycle is moving 4.0 m/s . What is the angular speed of a wheel if its radius is 30 cm ?