Concept explainers
One elevator arrangement includes the passenger car, a counterweight, and two large pulleys, as shown in Figure 11-50. Each pulley has a radius of 1.2 m and a moment of inertia of 380 kg · m2. The top pulley is driven by a motor The elevator car plus passengers has a mass of 3100 kg, and the counterweight has a mass of 2700 kg. If the motor is to accelerate the elevator car upward at 1.8 m/s2, how much torque must it generate? Hint: The two pulleys move together so you can model them as a single pulley with the sum of the moments of inertia.
Figure 11-50 problem 43
Want to see the full answer?
Check out a sample textbook solutionChapter 11 Solutions
Physics (5th Edition)
Additional Science Textbook Solutions
Physics for Scientists and Engineers with Modern Physics
College Physics
Conceptual Integrated Science
Life in the Universe (4th Edition)
Physics: Principles with Applications
Lecture- Tutorials for Introductory Astronomy
- A metal can containing condensed mushroom soup has mass 230 g, height 10.6 cm and diameter 6.38 cm. It is placed at rest on its side at the top of a 3.00-m-long incline that is at 26.0° to the horizontal and is then released to roll straight down. It reaches the bottom of the incline after 1.50 s. (a) Assuming mechanical energy conservation, calculate the moment of inertia of the can. I = kg m m² · (b) Which pieces of data, if any, are unnecessary for calculating the solution? (Select all that apply.) the mass of the can the height of the can the angle of the incline the time the can takes to reach the bottom none of these 1 (c) Why can't the moment of inertia be calculated from I = 2 mr² mr2 for the cylindrical can?arrow_forwardA metal can containing condensed mushroom soup has mass 220 g, height 10.0 cm and diameter 6.38 cm. It is placed at rest on its side at the top of a 3.00-m-long incline that is at 26.0° to the horizontal and is then released to roll straight down. It reaches the bottom of the incline after 1.50 s. (a) Assuming mechanical energy conservation, calculate the moment of inertia of the can. I = Your response differs from the correct answer by more than 10%. Double check your calculations. kg · m2 (b) Which pieces of data, if any, are unnecessary for calculating the solution? (Select all that apply.) O the mass of the can O the height of the can O the angle of the incline O the time the can takes to reach the bottom O none of these (c) Why can't the moment of inertia be calculated from I = -mr? for the cylindrical can? This answer has not been graded yet. Need Help? Read Itarrow_forwardA metal can containing condensed mushroom soup has mass 230 g, height 11.0 cm and diameter 6.38 cm. It is placed at rest on its side at the top of a 3.00-m-long incline that is at 28.0° to the horizontal and is then released to roll straight down. It reaches the bottom of the incline after 1.50 s. (a) Assuming mechanical energy conservation, calculate the moment of inertia of the can. I = kg • m2 (b) Which pieces of data, if any, are unnecessary for calculating the solution? (Select all that apply.) O the mass of the can V the height of the can O the angle of the incline O the time the can takes to reach the bottom O none of these (c) Why can't the moment of inertia be calculated from I = for the cylindrical can?arrow_forward
- A 0.75 kg block is resting on a table. At the end of the table is a pulley. A 1.5 kg mass hangs over the pulley by a string tied to the block. The hanging mass is initially 0.6 m above the floor. The pulley is a solid disk with a mass of 0.25 kg and a radius of 0.025 m. The table exerts a 2.5 N frictional force on the block. The system is released from rest. How fast is the block moving when the hanging mass reaches the floor? Assume the table is long enough that the block remains on the table. Thank you for all your help!arrow_forwardA double radius pulley is attached to a wall by an axle of negligible friction and is initially at rest. Two vertical forces,both with magnitude F1P = F2P =19 N, are applied at the radii R1 =0.4 m and R2 =1 m as shown. Determine the kinetic energy of the pulley after it has undergone one full rotation.arrow_forwardOne elevator arrangement includes the passenger car, a counterweight, and two large pulleys. Each pulley has a radius of 1.3 m and a moment of inertia of 390 kgm2. The top pulley is driven by a motor. The elevator car plus passengers has a mass of 3200 kg, and the counterweight has a mass of 2600 kg. If the motor is to accelerate the elevator car upward at 1.8 m/s2, how much torque must it generate?arrow_forward
- As shown below, a hollow cylinder with a mass 0.318 kg and an inner radius of 20 cm and an outer radius of 30 cm is attached to a solid cylinder with a mass 0.766 kg and a radius of 50 cm. It rotates at a rate of 16.4 rad/s about an axis through both of their centers. Find the kinetic energy of the system in J. axis 50 cm -30 cm 20 cmarrow_forwardA solid, uniform disk of radius 0.250 m and mass 55.9 kg rolls down a ramp of length 4.90 m that makes an angle of 14.0° with the horizontal. The disk starts from rest from the top of the ramp. (a) Find the speed of the disk's center of mass when it reaches the bottom of the ramp. m/s(b) Find the angular speed of the disk at the bottom of the ramp. rad/sarrow_forwardA 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 kgarrow_forward
- Find the moment of cable AB about the x-axis and y-axis using the scalar method. В 6 m 100 N 40° 2 marrow_forwardEach wheel of a 300-kg motorcycle is 61 cm in diameter and has rotational inertia 1.5 kg·m2. The cycle and its 72-kg rider are coasting at 75 km/h on flat road when they encounter a hill. if the cycle rolls up the hill with no applied power and no significant internal friction, what vertical height will it reach?arrow_forwardThe rigid body shown in the figure consists of three particles connected by massless rods. It is to be rotated about an axis perpendicular to its plane through point P. If M = 0.58 kg, a = 33 cm, and b = 56 cm, how much work is required to take the body from rest to an angular speed of 4.8 rad/s?arrow_forward
- Physics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage Learning