A pulley of moment of inertia 2.0 kg-m2 is mounted on a wall as shown in the following figure. Light strings are wrapped around two circumferences of the pulley and weights are attached. What are (a) the angular acceleration of the pulley and (b) the linear acceleration of the weights? Assume the following data: r1 = 50 cm, r2 = 20 cm, m1 = 1.0 kg, m2 = 2.0 kg
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A pulley of moment of inertia 2.0 kg-m2 is mounted on a wall as shown in the following figure. Light strings are wrapped around two circumferences of the pulley and weights are attached. What are (a) the
Assume the following data:
r1 = 50 cm, r2 = 20 cm, m1 = 1.0 kg, m2 = 2.0 kg
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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.A counterweight of mass m = 3.60 kg is attached to a light cord that is wound around a pulley as shown in the figure below. The pulley is a thin hoop of radius R = 7.00 cm and mass M = 3.00 kg. The spokes have negligible mass. M (a) What is the net torque on the system about the axle of the pulley? magnitude direction N.m to the right along the axis of rotation V (b) When the counterweight has a speed v, the pulley has an angular speed o = v/R. Determine the magnitude of the total angular momentum of the system about the axle of the pulley. ( |kg• m)v (c) Using your result from (b) and 7 = dL/dt, calculate the acceleration of the counterweight. (Enter the magnitude of the acceleration.) m/s2Calculate the torque (in N · m) about the z-axis that is out of the page at the origin in the following figure, given that F1 = 6.0 N, F2 = 4.3 N, F3 = 6.0 N, F4 = 4.1 N. (Indicate the direction with the sign of your answer.)
- The wheel of radius R shown below consists of a hoop of massm and two thin rods, each of mass M. Calculate the moment of inertia of the wheel about an axis going through its center, perpendicular to the plane of the hoop, for the values listed below. Express your answer in kg m2 to three significant figures. R= 2.28 m m = 0.372 kg M= 0.288 kgAn 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= _____NA circular disk with a radius of 0.38 m is subject to 2 tangentially applied forces. The disc is fixed such that it will rotate about its center. Both forces produce a torque in the same direction. F1 = 3.5 N applied at the outer edge of the disc. F2 = 3.2 N applied at a distance of 0.28 from the center of the disc. What is the net torque on the disc?
- The triceps muscle in the back of the upper arm extends the forearm. This muscle in a professional boxer exerts a force of 1559 N with an effective perpendicular lever arm of 3.25 cm, producing an angular acceleration of the forearm of 110.0 rad / s?. What is the moment of inertia of the boxer's forearm? moment of inertia: kg m?In an Atwood's machine as shown. The mass of block m1 is 6.00 kg and the mass of block m2 is 3.00 kg. The radius of the pulley is 0.100 m and the mass of the pulley is 12.0 kg. The system is released from rest. What is the angular acceleration of the pulley = (1/2)MR^2)?The wheel and axle have forces applies tangentially as shown in the figure. There is also a frictional torque of 0.02 Nxm on the wheel, once the wheel starts moving. The radius of the axel is 20 cm and the radius of the wheelis 60 cm and F1 = 2.4 N, F2 = 3.0 N and F3 = 1.2 N. a. Calculate the net torque on the moving wheel due to the applied forces F1 F2 and F3. b. What direction of rotation would the applied forces cause? Explain. c. What is the direction of frictional torque? Explain. d. Calculate the net torque on the wheel and axle.
- Two masses m1 3.2 kg and m2 1.6 kg hang from a pulley as shown in the figure. The moment of inertia through the axis of rotation passing through the center of the pulley is I = 2 kg m². The ropes holding the masses are attached to opposite sides of the pulley at a radius R = 0.5 m from the center of the pulley. R T1 T2 mị m2 Find the magnitude of the angular acceleration a of the pulley system. Pick the correct answer 4.9 rad/s? ,2 7.4 rad/s? 2.5 rad/s? -7.4 rad/s? 9.8 rad/s? 15An Atwood's machine consists of blocks of masses m1 = 11.0 kg and m2 = 22.0 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 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 = NA circular disk with a radius of 0.37 m is subject to 2 tangentially applied forces. The disc is fixed such that it will rotate about its center. Both forces produce a torque in the same direction. F1 = 4.7 N applied at the outer edge of the disc. F2 = 3.2 N applied at a distance of 0.3 from the center of the disc. What is the net torque on the disc?