2. Batman stands triumphantly at the edge of a partially-opened steel gate. The gate is 4.00 m long and is supported by a pivot at the wall and a taut cable that attaches to a point 3.00 m along the gate from the wall. The gate itself is 950. kg, uniform in construction, and opened at a 70.0° angle from the wall. If Batman has a mass of 1.00 x 102 kg, what is the tension in the cable and the x and y components of the force provided by the pivot at the wall? (Note: the resulting force from the pivot does not need to be aligned with the 70° angle the gate makes with the wall!) 70.0° 3. Your car tires each have a radius of 0.300 m. You accelerate from a stoplight, reaching 55.0 mph in 6.00 s. Assuming your acceleration was constant, what is the angular acceleration of each tire and how many revolutions does each one complete during your period of acceleration?
2. Batman stands triumphantly at the edge of a partially-opened steel gate. The gate is 4.00 m long and is supported by a pivot at the wall and a taut cable that attaches to a point 3.00 m along the gate from the wall. The gate itself is 950. kg, uniform in construction, and opened at a 70.0° angle from the wall. If Batman has a mass of 1.00 x 102 kg, what is the tension in the cable and the x and y components of the force provided by the pivot at the wall? (Note: the resulting force from the pivot does not need to be aligned with the 70° angle the gate makes with the wall!) 70.0° 3. Your car tires each have a radius of 0.300 m. You accelerate from a stoplight, reaching 55.0 mph in 6.00 s. Assuming your acceleration was constant, what is the angular acceleration of each tire and how many revolutions does each one complete during your period of acceleration?
Glencoe Physics: Principles and Problems, Student Edition
1st Edition
ISBN:9780078807213
Author:Paul W. Zitzewitz
Publisher:Paul W. Zitzewitz
Chapter8: Rotational Motion
Section: Chapter Questions
Problem 74A
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