One kind of elevator has the elevator car hanging Submit Request Answer from a cable, which then passes over a pulley and connects to a counterweight, as shown in (Figure 1). The mass of a fully-loaded elevator (that is, the elevator and all its passengers) is 1700 kg , the mass of the counterweight is 1550 kg , and the pulley has a radius of 0.4 A motor drives the motion of the elevator by exerting a torque on the pulley. Assume that friction is negligibe. Part C and a mass of 400 kg A group of people get on a fully-loaded elevator and ride it up three floors (a distance of about 9 meters), where they exit the elevator. If it took 5 seconds for the elevator to travel up those three floors, how much power did the motor need to provide? Nνα ΑΣφ ? Figure < 1 of 1> Submit Request Answer Part D To see the value of the counterweight, repeat the calculation in Part C if the elevator had no counterweight (or alternatively, if the mass of the counterweight were Okg). ? counter weight Submit Request Answer elevator

A weight of mass 1.60 kg is suspended by a string wrapped around a pulley wheel, which consists of a solid disk of mass 4.87 kg and radius 0.540 m. The system is released from rest. Over what vertical distance does the hanging mass move in 3.0 seconds? Ignore friction and drag forces, and assume that the string does not slip. Image size: S M L Max m MR

A bicyclist notes that the pedal sprocket has a radius of rp = 8.5 cm while the wheel sprocket has a radius of rw = 6.5 cm. The two sprockets are connected by a chain which rotates without slipping. The bicycle wheel has a radius R = 69 cm. When pedaling the cyclist notes that the pedal rotates at one revolution every t = 1.9 s. When pedaling, the wheel sprocket and the wheel move at the same angular speed.   rp = 8.5 cmrw = 6.5 cmR = 69 cmt = 1.9 s    The pedal sprocket and the wheel sprocket have the same _________  Calculate the angular speed of the pedal sprocket ωp, in radians per second.   Calculate the linear speed of the outer edge of the pedal sprocket vp, in centimeters per second.     Calculate the angular speed of the wheel sprocket ωw, in radians per second.    Calculate the linear speed of the bicycle v, in meters per second, assuming the wheel does not slip across the ground.    If the cyclist wanted to travel at a speed of v2 = 4.5 m/s, how much time, in seconds, should…

A pulley with moment of inertia I = 0.75 kg-m² and radius R = 15 cm is mounted on a wall. A light string is wrapped around the pulley with a mass m = 2.0 kg attached to the end. The pulley rotates as the mass falls. Use Newton's second law to calculate the acceleration of the mass. Check that your formula gives the expected behavior when I →0. => To help get started, the free body diagrams m and the pulley is shown below. T m Write down Newton's second law for each diagram. Use (and explain) the relationship R a = RO TIL R T

A bicyclist notes that the pedal sprocket has a radius of rp = 9.5 cm while the wheel sprocket has a radius of rw = 4.5 cm. The two sprockets are connected by a chain which rotates without slipping. The bicycle wheel has a radius R = 62 cm. When pedaling the cyclist notes that the pedal rotates at one revolution every t = 1.2 s. When pedaling, the wheel sprocket and the wheel move at the same angular speed. a)Calculate the angular speed of the pedal sprocket ωp and wheel sprocket ωw in radians per second.  b)Calculate the linear speed of the outer edge of the pedal sprocket vp, in centimeters per second.  c)Calculate the linear speed of the bicycle v, in meters per second, assuming the wheel does not slip across the ground.

An Atwood's machine consists of blocks of masses m₁ = 13.0 kg and m₂ = 24.0 kg attached by a cord running over a pulley as in the figure below. The pulley is a solid cylinder with mass M = 7.60 kg and radius r = 0.200 m. The block of mass m., is allowed to drop, and the cord turns the pulley without slipping. M T2 Q (a) Why must the tension 7₂ be greater than the tension 7₁? This answer has not been graded yet. (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 T, and T₂. T₁ = T2₂ =

A bicyclist notes that the pedal sprocket has a radius of rp = 8.5 cm while the wheel sprocket has a radius of rw = 6.5 cm. The two sprockets are connected by a chain which rotates without slipping. The bicycle wheel has a radius R = 64 cm. When pedaling the cyclist notes that the pedal rotates at one revolution every t = 1.8 s. When pedaling, the wheel sprocket and the wheel move at the same angular speed. a.  Calculate the angular speed of the pedal sprocket ωp, in radians per second.  b. Calculate the linear speed of the outer edge of the pedal sprocket vp, in centimeters per second.  c.  Calculate the angular speed of the wheel sprocket ωw, in radians per second.  d.  Calculate the linear speed of the bicycle v, in meters per second, assuming the wheel does not slip across the ground.

A 1.0-kg mass hangs on a rope wrapped around a frictionless disk pulley of mass 5 kg and radius 0.5 m. What is the acceleration of the mass? (The moment of inertia of the pulley is 1/2MR2.)

What is the rotational speed ω of a windmill's blades if they are noted to be spinning at a rate of 12 RPMs?

A metal ball with 0.27 kg of mass and 0.050 m of radius rolled without slipping on a horizontal floor. A ramp was placed on the floor. The ball rolled up the incline without slipping to a vertical height of 0.47 m before stopping. The ramp has a length of 1.7 m along the incline. Find the speed of the ball before it reached the ramp. Hint: the ball has rotational kinetic energy. The rotational inertia of a solid sphere is (2/5)mr^2.