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A 1.7 kg block is pulled by a 10 N force across a 2.0 kg frictionless pulley with a radius of 25 cm. Assume the pulley is a solid cylinder. How long does it take the block to travel 30 cm? Use g = 10 N/kg.
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- A metal hoop with 0.15 kg of mass and 0.080 m of radius rolled without slipping on a horizontal floor. A ramp was placed on the floor. The hoop rolled up the incline without slipping to a vertical height of 0.39 m before stopping. The ramp has a length of 1.7 m along the incline. Find the speed of the hoop before it reached the ramp. Hint: the hoop has rotational kinetic energy. The rotational inertia of a ring is mr^2.An Atwood's machine consists of blocks of masses m1 = 13.0 kg and m2 = 16.0 kg attached by a cord running over a pulley as in the figure below. The pulley is a solid cylinder with mass M = 9.10 kg and radius r = 0.200 m. The block of mass m2 is allowed to drop, and the cord turns the pulley without slipping. (a) Why must the tension T2 be greater than the tension T1? (b) What is the acceleration of the system, assuming the pulley axis is frictionless? (Give the magnitude of a.) =________ m/s2 (c) Find the tensions T1 and T2. T1= ______N T2= _____NTwo masses, m₁ = 31.0 kg and mp = 42.0 kg are connected by a rope that hangs over a pulley (as in the figure(Figure 1)). The pulley is a uniform cylinder of radius R = 0.316 m and mass 3.3 kg. Initially, mis on the ground and mp rests 2.5 m above the ground. igure MA MB 4 2.5 m 1 of 1 Part A If the system is now released, use conservation of energy to determine the speed of mp just before it strikes the ground. Assume the pulley is frictionless. Express your answer using three significant figures and include the appropriate units. V = Di Value Submit μA Drovide Foodhark Request Answer P Pearson Units Review | Constants ?
- A spherical shell with 0.13 kg of mass and 0.050 m of radius rolled without slipping on a horizontal floor. A ramp was placed on the floor. The spherical shell rolled up the incline without slipping to a vertical height of 0.46 m before stopping. The ramp has a length of 1.8 m along the incline. Find the speed of the spherical shell before it reached the ramp. Hint: the spherical shell has rotational kinetic energy. The rotational inertia of a spherical shell is (2/3)mr^2.A pulley with an unknown mass has a 0.3m radius that is initially at rest. The rotational inertia of the pulley is 0.35 mr^2. A 10 kg box hangs from a rope that is wrapped around the pulley that is also initially at rest. The box accelerates downward a distance of 10m and reaches a velocity of 8 m/s. Calculate the mass of the pulley. Answers must use the correct SI units.A person pushes on a lever 0.7 meters away from the axis of rotation with 100 N of force. The rotational inertia of the lever is 35 kg*m2. Calculate the angular acceleration of the lever.
- A clay cylinder of radius 21 cm on a potter's wheel spins at a constant rate of 15 rev/s. The potter applies a normal force of 15.3 N to the clay with his hands where the coefficient of friction is 0.1 between his hands and the clay. What is the power (in W) that the potter has to deliver to the wheel to keep it rotating at this constant rate?A wheel of radius 0.447 m is mounted on a frictionless horizontal axis. The rotational inertia of the wheel about the axis is 0.0458 kg-m2. A massless cord wrapped around the wheel is attached to a 3.00 kg block that slides on a horizontal frictionless surface. If a horizontal force of magnitude P = 2.91 N is applied to the block as shown in the figure, what is the angular acceleration of the wheel? Take the clockwise direction to be the negative direction and assume the string does not slip on the wheel.Determine the speed of the block with a mass of 0.60 kg after it has fallen 145 cm. The sphere is a shell with M = 4.5 kg and R = 8.5 cm. The pully has a rotational inertia of 0.0030 kg m2 and r = 5.0 cm. Use g = 9.8 m/s/s. Use conservation of energy.