Word problem

A. child stands on the surface of a forzan pond, 12 m from the shore. If the coefficient of static friction between her boots and the ice is 0.05, A. Determine the minimum time required for the child to walk to shore without slipping.

Newton's second law and centripetal force.

A small, frictionless ball, mass M= 2.5 kg, rests on the surface of a rotating solid cone. The surface is at angle b= 30 degrees. The ball is held in place at distance L= 1.85 m from the apex by a cord. The cord exerts force T on the ball, parallel to the cone's surface. SEE ATTACHMENT #1 for a diagram showing parameters. Part ...continues

Angular motion description, with angles in radians.

A disk starts from rest and accelerates at constant angular acceleration to 10 rev/sec in time t. While rotating through the next 60 revolutions, its speed increases to 15 rev/sec. Part a. Find the angular acceleration in rad/sec^2. Part b. Find T, the time required from 10 to 15 rev/sec.

moment of inertia

"A figure skater during her finale can increase her rotation rate from an initial rate of 1.12 revolutions every 1.88 s to a final rate of 3.15 revolutions per second. If her initial moment of inertia was 4.73 kg* m2, what is her final moment of inertia? " Thank you!

moment of inertia

"A cylindrical fishing reel has a moment of inertia of I = 6.81à—10^-4 kg* m2 and a radius of 3.13 cm. A friction clutch in the reel exerts a restraining torque of 1.49 N*m if a fish pulls on the line. The fisherman gets a bite, and the reel begins to spin with an angular acceleration of 63.7 rad/s^2. 1) What is the force of the ...continues

rotational speed/kinetic enery "A car is designed to get its energy from a rotating flywheel with a radius of 2.20 m and a mass of 499 kg. Before a trip, the flywheel is attached to an electric motor, which brings the flywheel's rotational speed up to 5120 revolutions per minute. Find the kinetic energy stored in the flywheel."

"A car is designed to get its energy from a rotating flywheel with a radius of 2.20 m and a mass of 499 kg. Before a trip, the flywheel is attached to an electric motor, which brings the flywheel's rotational speed up to 5120 revolutions per minute. Find the kinetic energy stored in the flywheel."

angular speed "A 243 N sphere 0.199 m in radius rolls, without slipping, 6.06 m down a ramp that is inclined at 36.9° with the horizontal. What is the angular speed of the sphere at the bottom of the hill if it starts from rest?"

"A 243 N sphere 0.199 m in radius rolls, without slipping, 6.06 m down a ramp that is inclined at 36.9° with the horizontal. What is the angular speed of the sphere at the bottom of the hill if it starts from rest?"

Simple harmonic motion of a mass on a spring, released at rest at maximum displacement. Develop x(t) and v(t).

On a frictionless table, a spring whose force constant is 60 nt/m has one end fixed and the other attached to mass M= 3.9 kg. A cord connects mass M to a suspended rock whose mass is m= 3.2 kg. Assume an x axis origin at the movable end of the spring when the spring contains no potential energy. At some instant, with the system ...continues

rotational motion

"A 3.96 m long pole is balanced vertically on its tip. It is given a tiny push. What will be the speed of the upper end of the pole just before it hits the ground? Assume the lower end does not slip."

angular acceleration

"A uniform rod of mass M = 5.18 kg and length L = 1.20 m can pivot freely (i.e., we ignore friction) about a hinge attached to a wall, as seen in the figure attached in a Word doc. The rod is held horizontally and then released. Determine the angular acceleration of the rod at the moment of release." Thank you!