A block with mass m = 5.00 kg slides down a surface inclined 36.9° to the horizontal (Figure 1). The coefficient of kinetic friction is 0.27. A string attached to the block is wrapped around a flywheel on a fixed axis at O. The flywheel has mass 11.1 kg and moment of inertia 0.500 kg - m² with respect to the axis of rotation. The string pulls without slipping at a perpendicular distance of 0.300 m from that axis. Part A What is the acceleration of the block down the plane? Express your answer in meters per second squared. a = 1.45 m/s² igure < 1 of 1 Part B What is the tension in the string? Express your answer in newtons. 5.00 kg ΑΣφ T = 11.6 N 36.9°

A block with mass m = 5.00 kg slides down a surface inclined 36.9° to the horizontal (Figure 1). The coefficient of kinetic friction is 0.27. A string attached to the block is wrapped around a flywheel on a fixed axis at O. The flywheel has mass 11.1 kg and moment of inertia 0.500 kg - m² with respect to the axis of rotation. The string pulls without slipping at a perpendicular distance of 0.300 m from that axis. Part A What is the acceleration of the block down the plane? Express your answer in meters per second squared. a = 1.45 m/s² igure < 1 of 1 Part B What is the tension in the string? Express your answer in newtons. 5.00 kg ΑΣφ T = 11.6 N 36.9°

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter11: Angular Momentum

Section: Chapter Questions

Problem 55P: A diver off the high board imparts an initial rotation with his body fully extended before going...

See similar textbooks

Similar questions

An ice skater is preparing for a jump with turns and has his arms extended. His moment of inertia is 1.8kgm2 while his arms are extended, and he is spinning at 0.5 rev/s. If he launches himself into the air at 9.0 m/s at an angle of 45 with respect to the ice, how many revolutions can he execute while airborne if his moment of inertia in the air is 0.5kgm2 ?
A top has moment of inertia 3.2104kgm2 and radius 4.0 cm from the center of mass to the pivot point. If it spins at 20.0 rev/s and is precessing, how many revolutions does it precess in 10.0 s?
A gymnast does cartwheels along the floor and then launches herself into the air and executes several flips in a tuck while she is airborne. If her moment of inertia when executing the cartwheels is 13.5kgm2 and her spin rate is 0.5 rev/s, how many revolutions does she do in the air if her moment of inertia in the tuck is 3.4kgm2 and she has 2.0 s to do the flips in the air?
A diver off the high board imparts an initial rotation with his body fully extended before going into a tuck and executing three back somersaults before hitting the water. If his moment of inertia before the tuck is 16.9kgm2 and after the tuck during the somersaults is 4.2kgm2 , what rotation rate must he impart to his body directly off the board and before the tuck if he takes 1.4 s to execute the somersaults before hitting the water?
If a child walks toward the center of a merry-go-round, does the moment of inertia increase or decrease?
A wheel starts from rest and in 12.65 s is rotating with an angular speed of 5.435 rad/s. a. Find the magnitude of theconstant angular acceleration of the wheel. b. Through whatangle does the wheel move in 6.325 s?
A large grinding wheel in the shape of a solid cylinder ofradius 0.330 m is free to rotate on a frictionless, vertical axle.A constant tangential force of 250. N applied to its edge causesthe wheel to have an angular acceleration of 0.940 rad/s2. (a) What is the moment of inertia of the wheel? (b) What isthe mass of the wheel? (c) If the wheel starts from rest, whatis its angular velocity after 5.00 s have elapsed, assuming theforce is acting during that time?
A skater extends her arms horizontally, holding a 5-kg mass in each hand. She is rotating about a vertical axis with an angular velocity of one revolution per second. If she drops her hands to her sides, what will the final angular velocity (in rev/s) be if her moment of inertia remains approximately constant at 5 kg⋅m2, and the distance of the masses from the axis changes from 1 mto 0.1 m?
A 255-lbf block is suspended from an inextensible cable which is wrapped around a drum of 1.75-ft radius rigidly attached to a flywheel. The drum and flywheel have a combined centroidal moment of inertiaI̅= 12 lb . ft . s 2 . At the instant shown, the velocity of the block is unknown directed downward. Knowing that the bearing at A is poorly lubricated and that the bearing friction is equivalent to a couple M of magnitude 65 lb .ft, determine the velocity of the block before it has moved 3.5 ft downward if at S2 speed is 13.5ft/s. (The final answer should be in two decimal places with correct units)
In a recent test of its braking system, a Volkswagen Passat traveling at 23.7 m/s came to a full stop after an average negativeacceleration of magnitude 2.10 m/s.(a) How many revolutions did each tire make before the car comes to a stop, assuming the car did not skid and thetires had radii of 0.325 m?rev(b) What was the angular speed of the wheels (in rad/s) when the car had traveled half the total stopping distance?
The rotor of a lab centrifuge has moment of inertia 0.0113 kg m^2 and spins at 1470 rad/s.If a brake exerts a perpendicular force of 16 N at 0.075 m from the spin axis, what is themagnitude of the angular acceleration?
A 37.0 kg person rides the outer edge of a merry-go-round, 1.40 m from the axis.Suppose the m-g-r (alone) has moment of inertia 116 kg m^2, and everything isturning at 0.400 rev/s to begin with. If the person moves to the center, what willthe rate of rotation be afterward?