Chapter 10, Problem 108GP

A turntable has a diameter of 40.0 cm. It rotates at a rate of 40 revolutions per second (rps) thanks to the action of a motor. It slows its speed evenly to 15 rps in 10 seconds. Calculate: d) The magnitude of the total acceleration vector.e) The angle, in radians, for the turns in that time interval.f) The arc length traveled by a point on the saucer in that time interval.

An air puck of mass m, is tied to a string and allowed to revolve in a circle of radius R on a horizontal, frictionless table. The other end of the string passes through a small hole in the center of the table, and an object of mass m, is tied to it (see figure). The suspended object remains in equilibrium while the puck on the tabletop revolves. (a) Find a symbolic expression for the tension in the string in terms of m, and g. T= (b) Write Newton's second law for the air puck, using the variables m,, v, R, and T. (Do this on paper. Your instructor may ask you to turn in this work.) (c) Eliminate the tension T from the expressions found in parts (a) and (b) and find an expression for the speed of the puck in terms of m,, m2, g, and R. speed =

An air puck of mass m, is tied to a string and allowed to revolve in a circle of radius R on a horizontal, frictionless table. The other end of the string passes through a small hole in the center of the table, and an object of mass m, is tied to it (see figure). The suspended object remains in equilibrium while the puck on the tabletop revolves. (a) Find a symbolic expression for the tension in the string in terms of m2 and g. T= m2g (b) Write Newton's second law for the air puck, using the variables m,, v, R, and T. (Do this on paper. Your instructor may ask you to turn in this work.) (c) Eliminate the tension T from the expressions found in parts (a) and (b) and find an expression for the speed of the puck in terms of m, m2, g, and R. R m2 g ml speed =

a vehicle with a mass of 2.5x10^3 kg is driving at a speed of 56 km/h around a level roadway with a curvature radius of 60 meters, just staying on the roadway (i.s., driving at the maximum safe speed for this turn and the tire treads). what is the coefficient of friction between the tires and the road?

In uniform circular motion, the net force is perpendicular to the velocity and changes the direction of the velocity but not the speed. If a projectile is launched horizontally,the net force (ignoring air resistance) is perpendicular to the initial velocity, and yet the projectile gains speed as it falls. What is the difference between the two situations?

An airplane flies in a horizontal circumference at a speed of 500 km / h. The wings form an angle of 35 ° to the horizontal. Suppose that, in addition to weight, other forces act on the plane, the sum of which is perpendicular to the wings. Determines the radius of the trajectory.

Curved portions of highways are always banked (tilted) to prevent cars from sliding off the highway.When a highway is dry, the frictional force between the tires and the road surface may be enough to prevent sliding.When the highway is wet, however, the frictional force may be negligible, and banking is then essential. a car of mass m as it moves at a constant speed v of 20 m/s around a banked circular track of radius R = 190 m. (It is a normal car, rather than a race car, which means that any vertical force from the passing air is negligible.) If the frictional force from the track is negligible, what bank angle u prevents sliding?

Instead of moving back and forth, a conical pendulum moves in a circle at constant speed as its string traces out a cone (see figure below). One such pendulum is constructed with a string of length L- 13.9 cm and bob of mass 0.338 kg. The string makes an angle e- 8.16° with the vertical. m Bob (a) What is the radial acceieration of the bob? magnitude mvs? direction (b) What are the horizontal and vertical components of the tension force exerted by the string on the bob? (Assume radially inward to be the positive x axis and vertically upward to be the positive y axis. Express your answer in vector form.) T- A particle of dust lands 43.8 mm from the center of a compact disc (CD) that is 120 mm in diameter. The CD speeds up from rest, and the dust particle is ejected when the CD is rotating at 80.0 revolutions per minute. What is the coefficient of s static friction between the particle and the surface of the CD? Need Help? Read Master

A pulley (in the form of a uniform disk) with mass Mp and radius Rp is attached to the ceiling in a uniform gravitational field g and rotates with no friction about its pivot. Mass M2 is larger than mass mı, and they are connected by a massless inextensible cord. T1, T2, and Ts are magnitudes of the tensions. What is the relationship between the ten- sion T and mi g? T3 R 1. T¡ m1 9 ANS = OPTION 4 NEED SOLUTION