(a) A bowling ball and a frictionless block are released simultaneously from the top of a ramp. The bowling ball rolls without slipping. Which reaches the bottom first? (b) A bowling ball and a marble are released simultaneously from the top of a ramp, and roll without slipping down the ramp. Which reaches the bottom first? (c) A bowling ball and a hoop [I = mr] are released simultaneously from the top of a ramp, and roll down without slipping. Which reaches the bottom first? %3D
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- A solid sphere rolls down two different inclined planes of the same heights but different angles of inclination. (a) Will it reach the bottom with the same speed in each case? (b) Will it take longer to roll down one plane than the other? (c) If so, which one and why?A wheel is spinning at 4.3 rpm, then brakes are applied and the wheel comes to a stop in 25 seconds. In radians, calculate the angular displacement of the wheel during the time it is stopping.A car initially traveling at 24.2 m/s undergoes a constant negative acceleration of magnitude 1.70 m/s2 after its brakes are applied. (a) How many revolutions does each tire make before the car comes to a stop, assuming the car does not skid and the tires have radii of 0.345 m? rev(b) What is the angular speed of the wheels when the car has traveled half the total distance?
- 2The flywheel of a steam engine runs with a constant angular velocity of 132 rev/min. When steam is shut off, the friction of the bearings and of the air stops the wheel in 1.40 h. (a) What is the constant angular acceleration, in revolutions per minute-squared, of the wheel during the slowdown? (b) How many revolutions does the wheel make before stopping? (c) At the instant the flywheel is turning at 66.0 rev/min, what is the tangential component of the linear acceleration of a flywheel particle that is 42.7 cm from the axis of rotation? (d) What is the magnitude of the net linear acceleration of the particle in (c)?Given the picture attached: (a) Find the magnitude of the net torque on an axis about C perpendicular to the page. (b) Is this clockwise or counterclockwise?
- A solid ball (sphere) of mass 1 kg and radius 0.3 m is held at rest at the top of a ramp. There is enough friction so that the ball will roll down the ramp without slipping. The top of the ramp is 10 meters above the ground.What will the speed be of the ball just before it hits the bottom of the ramp?A wheel (of radius 0.5 meters) spins with an angular velocity of 2 radians per second (rad/s). If this wheel were rolling on the ground without sliding, how fast would the wheel be traveling? O 1 m/s O 0.5 m/s It's not this one. O 2 m/sAn electric motor rotating a workshop grinding wheel at 1.08 x 10 rev/min is switched off. Assume the wheel has a constant negative angular acceleration of magnitude 2.06 rad/s? (a) How long does it take the grinding wheel to stop? Note that the time required for the wheel to stop is the same as the time for the wheel to start from rest and reach the given angular speed with the same magnitude angular acceleration, s (b) Through how many radians has the wheel turned during the time interval found in part (a)? It might be helpful to translate this problems into linear variables (a car traveling with an initial speed and then slowing down with a constant negative acceleration), rad Need Help? Road Master
- A solid ball with mass 9.10 kg and radius 2.00 cm is released from rest at the top of a ramp. The ramp is 4.20 m high and makes an angle of 12.0 degrees with the horizontal. The ball rolls down the ramp without slipping. (How do I use conservation of mechanical energy to find the speed of the ball at the bottom of the ramp?)A wheel has angular acceleration of 3 rad/s? and an initial angular speed of 2 rad/s. In a time of two second it has rotated through an angle (in radians) of O 10 O 12 O 4 O 6Question 1