1.) [NOTE UNITS: 1 cm = 0.01 m, 1 g = 0.001 kg]
An unsharpened pencil has a length 11 cm and a mass 40 g. It is
standing vertically on a table, resting on its eraser. It then
begins to fall. Because the eraser does not slide on the table, the
pencil rotates about its eraser.
(a) The rotational inertia I of the pencil is ___ kg.
(b) At a particular time it experiences a torque 0.011 Nm. At this
time, the magnitude of its rotational acceleration is _____
rad/s2
2.) [NOTE UNITS: 1 g = 0.001 kg]
A solid rod, with a radius 0.08 m and a mass 320 g, rotates about
its axis. Over a time interval of 30 s, its rotational velocity
increases from 10 rad/s2 to 40 rad/s2. The
magnitude of the average torque applied to the rod during that time
is ____ Nm.
1.) [NOTE UNITS: 1 cm = 0.01 m, 1 g = 0.001 kg] An unsharpened pencil...
1. NOTE UNITS: 1 cm = 0.01 m, 1 g = 0.001 kg A solid sphere has a radius 12 cm and a mass 30 g. It is rolling faster due to a torque of 0.009 Nm. The magnitude of its rotational acceleration is ? ___ rad/s2. 2. A thin hoop of radius 0.8 m and mass 0.4 kg is at rest initially. Then, a torque of 4 Nm is applied to make it rotate about its axis. The magnitude...
1.A solid uniform sphere of mass 3.7 kg and radius 0.051 m rotates with angular velocity 7.3 rad/s about an axis through its center. Find the sphere’s rotational kinetic energy. 2.A certain pulley is a uniform disk of mass 2.7 kg and radius 0.25 m. A rope applies a constant torque to the pulley, which is free to rotate without friction, resulting in an angular acceleration of 0.12 rad/s2. The pulley starts at rest at time t = 0 s....
In the figure, a 8.28 g bullet is fired into a 0.996 kg block attached to the end of a 0.611 m nonuniform rod of mass 0.490 kg. The block-rod-bullet system then rotates in the plane of the figure, about a fixed axis at A. The rotational inertia of the rod alone about A is 0.0857 kg-m^2. Treat the block as a particle, (a) What then is the rotational inertia of the block-rod-bullet system about point A? (b) If the...
The assembly shown in the figure below consists of a thin rod of length l = 23.9 cm and mass m = 1.20 kg with a solid ball of diameter d = 10.0 cm and mass M = 2.00 kg attached to its top. The assembly is free to pivot about a frictionless axle through the bottom of the rod. The assembly is initially vertical and at rest when it starts to rotate clockwise. (a) After the combination rotates through 90...
A uniform thin rod of length 0.95 m and mass 1.2 kg lies in a horizontal plane and rotates in that plane about a pivot at one of its ends. The rod makes one rotation every 0.39 second and rotates clockwise as viewed from above its plane of rotation. A)Find the magnitude of the rod’s angular momentum about its rotation axis, in units of kgm^/s. b) find the rotational kinetic energy, in joules, of the rod described in part (a)....
A pencil (mass 8.4 g and length 14 cm) is initially balanced so that it is sitting vertically on a flat table as shown in the figure below. If the pencil then falls, what is its angular velocity just before it strikes the tabletop? Assume the mass of the pencil is distributed uniformly and the end of the pencil in contact with the table does not slip rad/s
A wheel of radius 15.0 cm consists of a ring of mass 4.00 kg and four rays of mass 3.00 kg each and length of 15 cm. The wheel rotates with respect to a fixed axis passing through its center, with an acceleration of 1.25 rad/s2. What would be the rotational inertia of the wheel in kg * m2?
A thin uniform rod (mass= 4.0 kg, length= 120.cm) rotates about an axis that is perpendicular to the rod; the axis intersects the rod at 1/3 of the rod's length. The rod rotates about the axis at the rate of 8 full revolutions per second. a. Compute the rotational Inertia of the rod based on the given axis of rotation. b. Compute the magnitude of the angular velocity in radians per second c. Compute the tangential speed of the end...
1. A solid cylinder has a mass of 5 kg and a radius of 30 cm. A torque of 40 Nm is applied to the cylinder. What will be its angular acceleration? a) 37.5 rad/s2 b) 59.3 rad/s2 c) 89.0 rad/s2 d) 178 rad/s2 2. When an object is in static equilibrium a) the net force on it is zero b) the net torque on it is zero c) the net force and net torque are zero d) not enough...
A 2.0 m measuring stick of mass 0.165 kg is resting on a table. A mass of 0.500 kg is attached to the stick at a distance of 74.0 cm from the center. Both the stick and the table surface are frictionless. The stick rotates with an angular speed of 5.40 rad/s. a)If the stick is pivoted about an axis perpendicular to the table and passing through its center, what is the angular momentum of the system? b)If the stick...