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Show that the magnitude of the total linear acceleration of Show that the magnitude of the total linear acceleration of a point moving in a circle of radius r with angular velocity w and angular acceleration a is given by a = w4 + a2 Is this the question you were looking for? If so, […]

A vinyl record on a turntable rotates at 331/3 rev/min. (a) A vinyl record on a turntable rotates at 331/3 rev/min. (a) What is its angular speed in radians per second? What is the linear speed of a point on the record? (b) 15 cm and (c) 7.4 cm from the turntable axis? Is this […]

journal entries The perth construction company purchased a piece of machinery on June 29, 2006 for $53 000. Freight costs came to $800. It cost $1700 to install and test the machinery. at this time it was estimate that the machine would be used for 6 years and would have a residual value of $8000 […]

A yo-yo is made of two solid cylindrical disks, each of mass 0.050 kg and diameter 0.075 m, A yo-yo is made of two solid cylindrical disks, each of mass 0.050 kg and diameter 0.075 m, joined by a (concentric) thin solid cylindrical hub of mass 0.0050 kg and diameter 0.013 m. Use conservation of […]

A woman with mass 50 kg is standing A woman with mass 50 kg is standing on the rim of a large disk that is rotating at O.50rev/s about an axis through its center. The disk bas mass no kg and radius 4.0 m. calculate the magnitude of the total angular momentum of the woman-plus-disk […]

(a) What is the angular momentum of a figure skater (a) What is the angular momentum of a figure skater spinning at 3.5 rev/s with arms in close to her body, assuming her to be a uniform cylinder with a height of 1.5m, a radius of 15cm, and a mass of 55kg? (b) How much […]

Suppose that the rod in Figure 10.10 has a non-uniform Suppose that the rod in Figure 10.10 has a non-uniform mass distribution. In general, would the moment of inertia about the y axis still be equal to ML2/12? If not, could the moment of inertia be calculated without knowledge of the manner in which the […]

(a) If R = 12 cm, M = 400 g, and m = 50 g in Figure, find the (a) If R = 12 cm, M = 400 g, and m = 50 g in Figure, find the speed of the block after it has descended 50 cm starting from rest. Solve the problem using […]

Suppose that for the system described in Problem 129, the Suppose that for the system described in Problem 129, the spring constants are each k = 60 N/m. The system starts from rest and slowly accelerates until the masses are 0.8 m from the center of the cylinder. How much work was done in the […]

Suppose you remove two eggs from the refrigerator, one hard-boil Suppose you remove two eggs from the refrigerator, one hard-boiled and the other uncooked. You wish to determine which is the hard-boiled egg without breaking the eggs. This can be done by spinning the two eggs on the floor and comparing the rotational motions. Which […]