A yo-yo (that is, a solid cylinder with a string looped around it) unwinds from a height of h = 1.15 m, as shown above. The mass of yo-yo is 290. g and its radius is 2.90 cm. How long does it take to fall to the floor? (Hint:Think carefully about the forces and torques in the situation; the yo-yo will rotate as it falls.)

A massless string is wrapped around a solid cylinder of mass 0.400 kg and radius 0.100 m. The string is attached to the ceiling. The cylinder is released. As it falls, the string unwinds. What is the magnitude of the acceleration of the cylinder as it falls?

In the figure above, a mass of 65.3 kg is attached to a light string, which is wrapped around a cylindrical spool of radius 0.47 m and moment of inertia 5.24 kg m2. The spool is suspended from the ceiling, and the mass is then released from rest a distance 6.32 m above the floor. How long does it take to reach the floor?Express your answer in seconds, to at least two digits after the decimal point.

A string is wrapped around a uniform solid cylinder of radius r𝑟, as shown in  (Figure 1). The cylinder can rotate freely about its axis. The loose end of the string is attached to a block. The block and cylinder each have mass m𝑚.Figure1 of 1Part AFind the magnitude α𝛼 of the angular acceleration of the cylinder as the block descends.Express your answer in terms of the cylinder's radius r𝑟 and the magnitude of the free-fall acceleration g𝑔.View Available Hint(s)for Part AHint 1for Part A. How to approach the problemHint 2for Part A. Find the net force on the blockHint 3for Part A. Find the net torque on the pulleyHint 4for Part A. Relate linear and angular accelerationHint 5for Part A. Putting it togetherActivate to select the appropriates template from the following choices. Operate up and down arrow for selection and press enter to choose the input value typeActivate to select the appropriates symbol from the following choices. Operate up and down arrow for selection and press enter to choose the input value typeα𝛼 =2(g+a)r

A girl with a 36.3 g yo-yo is swinging it in a horizontal circle at an angular velocity of 7.68 rad/s. If the string is tilted down at an angle of 19.7°, what must the length of the yo-yo string be?

An object is thrown downward with an initial velocity of 9 feet per second. The relationship between the distance 𝑠 it travels and time 𝑡 is given by 𝑠=9⁢𝑡+16⁢𝑡2. How long does it take the object to fall 171 feet?It takes second(s) for the object to fall 171 feet.