52 °An object with a mass of 0.8 kg and radius of 23 cm starts from rest and rollswithout slipping down the ramp shown above and reaches a final speed of 6.6 m/sin 1.5 s. Determine (a) the distance it rolled parallel to the ramp and (b) therotational inertia of the object about its center-of-mass.a. d =mb. Icom|kg m2 6.7 kg52°The system shown above is released from rest. The horizontal surface isfrictionless, and there is sufficient friction for the uniform cylinder to rollsmoothly down the ramp. The cylinder has a mass of 6.6 kg and radius of 19 cm.The pulley is a non-uniform disk with a mass of 0.5 kg, radius of 13.2 cm, and 8 =0.41. The rope does not slip on the pulley. Determine the displacement of thebox when the kinetic energy of the pulley is 317 mJ.Ax =

(a)The distance it rolled parallel to the ramp. (b) The rotational inertia of the object about its…

Answered: 52 An object with a mass of 0.8 kg and…

Similar questions

A rotating wheel requires 5.00 s to rotate 29.0 revolutions. Its angular velocity at the end of the 5.00-s interval is 96.0 rad/s. What is the constant angular acceleration (in rad/s) of the wheel? rad/s2
An ice skater is spinning on the ice with her arms fully extended. When she pulls in her arms, she spins at a faster rate because a. Her moment of inertia decreases. b. Her moment of inertia increases. c. Her moment of inertia stays the same. d. Her mass stays the same. e. Her weight stays the same.
A dentist's drill starts from rest. After 3.40 s of constant angular acceleration it turns at a rate of 2.30 x 10 rev/min. (a) Find the drill's angular acceleration. rad/s2 (b) Determine the angle (in radians) through which the drill rotates during this period. rad
A rotating wheel requires 6.00 s to rotate 28.0 revolutions. Its angular velocity at the end of the 6.00-s interval is 95.0 rad/s. What is the constant angular acceleration (in rad/s) of the wheel? rad/s2
4. A skater has a moment of inertia of 105.0 kg.m² when his arms are outstretched and a moment of inertia of 64.0 kg.m² when his arms are tucked in close to his chest. If he starts to spin at an angular speed of 80.0 rpm (revolutions per minute) with his arms outstretched, what will his angular speed be when they are tucked in? rpm
A dentist's drill starts from rest. After 3.50 s of constant angular acceleration it turns at a rate of 2.30 x 104 rev/min. (a) Find the drill's angular acceleration. rad/s2 (b) Determine the angle (in radians) through which the drill rotates during this period. rad
V = 4 m/s ac µ = 0.1 Center of rotation R = 20 m Car around corner A 400 kg car is going around a curb as shown. The radius of the turn is 20 m and the car has a velocity of 4 m/s. The coefficient of friction between the tires and the road is 0.1 a. What is the angular velocity of the car? a. Will the car make the turn?
A rotating wheel requires 7.00 s to rotate 30.0 revolutions. Its angular velocity at the end of the 7.00-s interval is 99.0 rad/s. What is the constant angular acceleration (in rad/s) of the wheel? rad/s²
ii) A uniform sphere made of modeling clay has radius R and moment of inertia I₁ for rotation about a diameter. It is then flattened to a disk with the same radius R. What is the moment of inertia of the disk, Id, in terms of I₁? a. Id=511/4 b Id = 511/2 c. Id = 511 d. Id = 411/5 e. Id = 211/5 f. Id = I1/5
16
4. A playground toy has four seats, each 5.0 kg, attached to very light, 1.5 m long rods, as seen from above in the figure. If two children with masses of 15 kg and 20 kg, sit in seats opposite one another, what is the moment of inertia about the rotation axis? 1.5 m
3. The cord, which is wrapped around the disk, is given an acceleration of a = (10t) m/s, where t is in seconds. Starting from rest, determine the angular displacement, angular velocity, and angular acceleration of the disk when t = 5 s. a = (10t) m/s² 0.5 m