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- A stone tie with a string held at one end is being rotated at a constant angular velocity in the air. The tangential velocity will remain constant if _______ a) The plane of motion of the stone is parallel to the ground b) The plane of motion of the stone is perpendicular to the ground c) The plane of motion of the stone is at an angle of 45 degrees to the ground d) The tangential velocity is independent of the plane of motion2- 2 - The wheel of a car with a mass of 3000 kg has a diameter of 1.6 m and the coefficient of friction with the road surface is given as μ = 1.80. Assume that the weight of the car is evenly distributed on all four wheels. Calculate the maximum torque that the engine can create on one of the tractor wheels without spinning the wheel. Assume that the car is stationary. A) 9768 N·m B) 17560 N·m C) 14670 N·m D) 12644 N·m E) 10584 N·m1. Which of the following is true for an object in static equilibrium? A. The object is moving with non-zero constant velocity B. A non-zero constant net force is acting on the object C. A non-zero constant net torque is acting on the object D. The object is at rest
- The following diagram represents a 3.2 kg steel ball being thrown. 2.0 cm 2am -33 cm- Ball Arm Hand Elbow joint Force from triceps muscle While the ball is in the hand, its acceleration is 5.6 ms-² (a) Calculate the torque required to produce the observed acceleration.106 (b) Calculate the force that must be exerted by the triceps muscle in throwing the ball.7. You are a passenger in a Jeep with doors that is traveling at a constant speed of 10.9m/s. The driver turns left in a circle of radius 8.9 m. Your mass is 71.8 kg. Calculate the horizontal force in newtons that makes you stay in your seat in the car so you don't fly out of the car.MacBook Air %23 & 7. 3) 4. 5 6 7. E T. Q G K A S tock C M. command option command control option
- 4) A stone with mass m = 2 g at the end of a massless string is swinging in a circle of radius R = 1.8 m with and angular velocity ω = 11 rad/s. a) Write an expression for the velocity v of the stone. b) Calculate the velocity of the stone, v in m/s. c) In order to travel in a circle, the direction the stones path must constantly be changing (curving inward). This constant change in direction towards the center of the circle is a center pointing acceleration called centripetal acceleration ac. Write an expression for the centripetal acceleration ac of the stone, in terms of the linear velocity. d) Calculate the centripetal acceleration of the stone, ac in m/s².35- A solid sphere of mass m and radius r can rotate without slipping along the path shown in the figure. At the height h where the sphere will start its motion from rest, the lowest part of the sphere is higher than the lowest part of the circular part of the road with radius R (R = 5r). What should be the minimum height (h) of the point where the sphere will start to move in order for the sphere to fully circle this circular path?3. The top of the circular table shown to the side is 1.2 meters in diameter and weighs 26 kg. If a 90 kg person sits on the edge of the table, how wide does the base have to be for the table not to flip over? 0-0
- During the last rotation, a hammer thrower maintains a constant acceleration of his hammer, from 28 m/s at the beginning of the rotation to 32 m/s at the time of release. a) If the radius of the hammer's rotations is 1.3 m, what is the total linear acceleration when the hammer has covered 3/4 of the last rotation? Steps: 1) Find the tangential acceleration of the hammer: m/s2 2) Find the tangential velocity after 3/4 of the final rotation: m/s. (Note, this is NOT just 3/4 of the way from 28 to 32 , because you travel further in a given time at higher speed.) 3) Find the radial acceleration of the hammer after 3/4 of the final rotation: m/s2. 4) Find the total acceleration after 3/4 of the final rotation: m/s2. b) How far will the throw go, if the initial launch angle is 41 degrees above the horizontal, 1.9 m above the ground. Steps: 1) Find the time-of-flight: s 2) Find the horizontal velocity: m/s 3) Find the horizontal distance: m.5. After subjecting the car design of a sun-powered car to wind tunnel testing, a group of engineer- ing students estimates the tangential component of the car's acceleration will be at = 0.6 -0.002² m/s², where v is the car's velocity in m/s. If the car starts from rest at A, what are the car's veloc- ity and acceleration in terms of normal and tan- gential components when it reaches B? | 200 m 50 m B1) A 0.30-kg ball is attached at the end of a 0.90-m-long stick. The ball and stick rotate in a horizontal circle. Because of air resistance, a continual push must be exerted on the stick to keep the ball moving at a constant speed, causing a 0.036-Nm torque. Draw an extended force diagram showing the forces exerted on the ball and stick and use it to determine the magnitude of the resistive force that the air exerts on the ball opposite its motion. What assumptions did you make?