In the figure, a small block of mass m = 0.021 kg can slide along the frictionless loop-the-loop, with loop radius R = 13 cm. The block is released from rest at point P, at height h = 5R above the bottom of the loop. What are the magnitudes of (a) the horizontal component and (b) the vertical component of the net force acting on the block at point Q? (c) At what height h should the block be released from rest so that it is on the verge of losing contact with the track at the top of the loop? (On the verge of losing contact means that the normal force on the block from the track has just then become zero). h QT R Y

In the figure, a small block of mass m = 0.021 kg can slide along the frictionless loop-the-loop, with loop radius R = 13 cm. The block is released from rest at point P, at height h = 5R above the bottom of the loop. What are the magnitudes of (a) the horizontal component and (b) the vertical component of the net force acting on the block at point Q? (c) At what height h should the block be released from rest so that it is on the verge of losing contact with the track at the top of the loop? (On the verge of losing contact means that the normal force on the block from the track has just then become zero). h QT R Y

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Similar questions

a solid brass ball of mass 0.280 g will roll smoothly along a loop-the-loop track when released from rest along the straight section. The circular loop has radius R = 14.0 cm, and the ball has radius r < R. (a) What is h if the ball is on the verge of leaving the track when it reaches the top of the loop? If the ball is released at height h = 6.00R, what are the (b) magnitude and (c) direction of the horizontal force component acting on the ball at point Q?
The coefficient of friction between mass m 1 and the surface is 0.15. The pulley is a disk and has a radius of 0.100 m and a mass of 0.25 kg. m 1 = 10.0 kg, m 2 = 20.0 kg.If the system is released from rest, find the final speed of each block when the hanging mass falls 2.0 m. ( I(disk)= 1/2 m R 2 )
You pull on a string with a horizontal force of magnitude Fyb = 44 N that is attached to a block of mass mb = 6.1 kg, then to the axle of a solid cylinder of mass mc = 4.7 kg and radius r = 0.4 m, then to a spring of spring constant k = 135 N/m. This is all done on an inclined plane where there is friction ( μs = 0.61 and μk = 0.34 ), and the incline angle is θ = 30 degrees. Everything starts at rest, and the spring is unstretched. The block slides down the plane, the cylinder rolls down the plane (without slipping), and the spring stretches. How far have you pulled the block and cylinder when everything stops? The velocity when it has traveled 44 cm down the plane is 2.030 m/s.
You pull on a string with a horizontal force of magnitude Fyb = 44 N that is attached to a block of mass mb = 6.1 kg, then to the axle of a solid cylinder of mass mc = 4.7 kg and radius r = 0.4 m, then to a spring of spring constant k = 135 N/m. This is all done on an inclined plane where there is friction ( μs = 0.61 and μk = 0.34 ), and the incline angle is θ = 30 degrees. Everything starts at rest, and the spring is unstretched. The block slides down the plane, the cylinder rolls down the plane (without slipping), and the spring stretches. First, what is the speed of the block and cylinder after you have pulled the block and cylinder 107 cm down the plane? How far have you pulled the block and cylinder when everything stops? I can not figure out this homework question.
You pull on a string with a horizontal force of magnitude Fyb = 47 N that is attached to a block of mass mb = 7.9 kg, then to the axle of a solid cylinder of mass mc = 4.4 kg and radius r = 0.4 m, then to a spring of spring constant k = 200 N/m. This is all done on an inclined plane where there is friction ( μs = 0.65 and μk = 0.37 ), and the incline angle is θ = 26 degrees. Everything starts at rest, and the spring is unstretched. The block slides down the plane, the cylinder rolls down the plane (without slipping), and the spring stretches. First, what is the speed of the block and cylinder after you have pulled the block and cylinder 27 cm down the plane?
a solid ball rolls smoothly from rest (starting at height H = 6.0 m) until it leaves the horizontal section at the end of the track, at height h = 2.0 m. How far horizontally from point A does the ball hit the floor?
A yo-yo-shaped device mounted on a horizontal frictionless axis is used to lift a 33 kg box as shown in the figure. The outer radius R of the device is 0.34 m, and the radius r of the hub is 0.17 m. When a constant horizontal force F→app of magnitude 250 N is applied to a rope wrapped around the outside of the device, the box, which is suspended from a rope wrapped around the hub, has an upward acceleration of magnitude 0.62 m/s2. What is the rotational inertia of the device about its axis of rotation?
A wind turbine on a wind farm turns in response to a force of high-speed air resistance, R=0.5DρAυ2. The power available is P=Rυ=0.5Dρπr2υ3., where .υ is the wind speed and we have assumed a circular face for the wind turbine of radius r. Take the drag coefficient as D=1.0 and the density of air from the front endpaper . For a wind turbine having r=1.5 m, calculate the power available with (a) υ=8.0 m/s and (b) υ=24.0 m/s. Find also the power delivered to the generator that is limited by the efficiency of the system, about 25%. For comparison, a large American home uses about 2 kW of electric power.
A wind turbine on a wind farm turns in response to a force of high-speed air resistance, R=0.5DρAυ2. The power available is P=Rυ=0.5Dρπr2υ3., where .υ is the wind speed and we have assumed a circular face for the wind turbine of radius r. Take the drag coefficient as D=1.0 and the density of air from the front endpaper . For a wind turbine having r=1.5 m, calculate the power available with (a) υ=8.0 m/s and (b) υ=24.0 m/s. The power delivered to the generator is limited by the efficiency of the system, about 25%. For comparison, a large American home uses about 2 kW of electric power.
You pull on a string with a horizontal force of magnitude Fyb = 32 N that is attached to a block of mass mb = 6.5 kg, then to the axle of a solid cylinder of mass mc = 4.0 kg and radius r = 0.4 m, then to a spring of spring constant k = 185 N/m. This is all done on an inclined plane where there is friction ( μs = 0.69 and μk = 0.40 ), and the incline angle is θ = 28 degrees. Everything starts at rest, and the spring is unstretched. The block slides down the plane, the cylinder rolls down the plane (without slipping), and the spring stretches. First, what is the speed of the block and cylinder after you have pulled the block and cylinder 6 cm down the plane? How far have you pulled the block and cylinder when everything stops?
In the figure, two blocks, of masses 2.00 kg and 3.00 kg, are connected by a light string that passesover a frictionless pulley of moment of inertia 0.00400 kg · m2 and radius 5.00 cm. The coefficient offriction for the tabletop is 0.300. The blocks are released from rest. Using energy methods, find thespeed of the upper block just as it has moved 0.600 m. A) 3.19 m/s B) 1.40 m/s C) 1.22 m/s D) 1.95 m/s E) 5.44 m/s
In the figure here, a solid brass ball of mass 0.371 g will roll smoothly along a loop-the-loop track when released from rest along the straight section. The circular loop has radius R = 0.14 m, and the ball has radius r << R.(a) What is h if the ball is on the verge of leaving the track when it reaches the top of the loop?(b) If the ball is released at height h = 4R, what is the magnitude of the horizontal force component acting on the ball at point Q?