600

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 ?



599

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 .



598

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 .



597

Physics Work,Power & Energy Level: High School

The diameter of the sun is 13.9 x 10 to the 8th m, and the distance from the Earth to the Sun is 1.5 x 10 to the 11th m . How long does it take for the sun to disappear after it touches the horizon during sunset ? (Ignoring effects due to refraction with in Earth’s atmosphere . )



596

Physics Work,Power & Energy Level: High School

A block of wood with a mass of 4.65kg is resting on a horizontal surface when a bullet with a mass of 18.0 grams and moving with a peed of 725 meters per second strikes it . The coefficient of friction between the block and the surface is 0.350 . What distance does the block move across the surface? Assume the collision is completely inelastic .



595

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 .



594

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 .



593

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 ?



592

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 .)



591

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 . )




590

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 ?



589

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?




588

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 ?




587

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 ?



586

Physics Rotational Mechanics Level: High School

Equilibrium

A roller in 20 inches in diameter and weighs 100 lbs, What horizontal force is necessary to pull it over a brick 2 inches high ?

And find the force of the brick in the roller (both magnitude and direction)


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