A light, inextensible cord passes over a light, frictionless pulley with a radius of 11 cm. It has a 12 kg mass on the left and a 7.7 kg mass on the right, both hanging freely. Initially their center of masses are a vertical distance 3.5 m apart. The acceleration of gravity is 9.8 m/s2 .At what rate are the two masses accelerating when they pass each other?
a)A light, inextensible cord passes over a light, frictionless pulley with a radius of 11 cm. It has a 12 kg mass on the left and a 7.7 kg mass on the right, both hanging freely. Initially their center of masses are a vertical distance 3.5 m apart. The acceleration of gravity is 9.8 m/s2 .At what rate are the two masses accelerating when they pass each other?
b)A block of mass m accelerates with acceleration g up a frictionless plane that is inclined at an angle α above the horizontal. The force Fo that pushes the block is at an angle β above the horizontal. Find the force Fo.
c)A mass of 1.1 kg lies on a frictionless table, pulled by another mass of 3.8 kg under the influence of Earth’s gravity. The acceleration of gravity is 9.8 m/s2 . What is the magnitude of the acceleration a of the two masses?
d)The suspended 2.41 kg mass on the right is moving up , the 2.1 kg mass slides down the ramp and is on an inclined 34 degrees from the horizontal, and the suspended 7.8 kg mass on the left is moving down. There is friction between the block and the ramp, the coefficient of static friction is 0.17. The acceleration of gravity is 9.8 m/s2. The pulleys are massless and frictionless. What is the acceleration of the three block system?
e)A highway curves to the left with a radius of curvature of 42 m and is banked at 19◦ so that cars can take this curve at higher speeds. Consider a car of mass 1830 kg whose tires have a static friction coefficient 0.52 against the pavement. How fast can the car take this curve without skidding to the outside of the curve? The acceleration of gravity is 9.8 m/s2 .
e)A coin is placed 34 cm from the center of a horizontal turntable, initially at rest. The turntable then begins to rotate. When the speed of the coin is 130 cm/s (rotating at a constant rate), the coin just begins to slip. The acceleration of gravity is 980 cm/s2 . What is the coefficient of static friction between the coin and the turntable?
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 2 images
