Conservation of energy: Spring block on an incline.

An object of mass m starts from rest and slides a distance d down a frictionless incline of angle . While sliding, it contacts an unstressed spring of negligible mass as shown in Figure. The object slides an additional distance x as it is brought momentarily to rest by compression of the spring (of force constant k). Find the i ...continues

Conservation of energy: Breaking of the pendulum string

A 1.91 kg ball is attached to the bottom end of a length of fish line with a breaking strength of 8 lb (35.6 N). The top end of the fishing line is held stationary. The ball is released from rest with the line taut and horizontal ( = 90.0°). At what angle (measured from the vertical) will the fish line break?

Conservation of energy: motion on vertical circle with force

In her hand a softball pitcher swings a ball of mass 0.251 kg around a vertical circular path of radius 59.5 cm before releasing it from her hand. The pitcher maintains a component of force on the ball of constant magnitude 30.2 N in the direction of motion around the complete path. The speed of the ball at the top of the circle ...continues

Rotational kinetic

A horizontal 808 N merry-go-round is a solid disk of radius 1.56 m, started from rest by a constant horizontal force of 50.5 N applied tangentially to the edge of the disk. Find the kinetic energy of the disk after 2.96 s.

Rotational Motion: Translation and Rotational kinetic energy

(a) Without the wheels, a bicycle frame has a mass of 8.13 kg. Each of the wheels can be roughly modeled as a uniform solid disk with a mass of 0.820 kg and a radius of 0.343 m. Find the kinetic energy of the whole bicycle when it is moving forward at 3.35 m/s. K= J (b) Before the invention of a wheel turning on an axle, ...continues

Rotational Motion: Rod released on smooth horizontal plane

A thin rod of length h and mass M is held vertically with its lower end resting on a frictionless horizontal surface. The rod is then released to fall freely. Determine the speed of its center of mass just before it hits the horizontal surface. Use h, M, and g for length, mass, and gravitational acceleration respectively. (b) ...continues

Energy

The speed of a moving bullet can be determined by allowing the bullet to pass through two rotating paper disks mounted a distance d apart on the same axle (Fig. P10.68). From the angular displacement of the two bullet holes in the disks and the rotational speed v of the disks, we can determine the speed v of the bullet. Find th ...continues

Tangential speed and rotational kinetic energy

1) a ballet dancer has a mass=50kg Has a angular speed of 4.0 rad/s lowering her hands decrease the value ofInertia by 40 percent. What is her final angular speed? 2) 3 fan blades are turning at a angular speed of 12rad/s a) has a mass of 3kg and a length on 2.0m b) has a mass of 5kg and a length on -7.0m c) ...continues

Mass density

1) Find the area of a sheet that can be formed from 1.0kg of silver? mass density of silver is 10500 kg/m^3 2) The ice on a lake is .010m thick, the lake is circularwith a radius of480m. Find the mass of the ice.?

Three objects are positioned along the x axis as follows

Three objects are positioned along the x axis as follows: 4.4 kg at x = +1.1m, 3.7 kg at x = -0.80m, and 2.9 kg at x = -1.6 m. The acceleration due to gravity is the same everywhere. What is the distance from location of the center of gravity to the location of the center of mass for this system A ceiling fan has five blades ...continues