An object of mass m rolls down a ramp oriented at an angle of 30 degrees with horizontal without slipping and starting from rest. After it has gone down a vertical distance h its speed is sqrt(4gh/3). What type of object is it? Disk, sphere, or hoop?
An object of mass m rolls down a ramp oriented at an angle of 30 degrees...
A very thin circular hoop of mass(m) and radius(r) rolls without slipping down a ramp inclined at an angle(theta) with the horizontal, as shown in the figure.What is the acceleration(a) of the center of the hoop? Express your answer in terms of some or all of the variablesm,r, theta, and the magnitude of the acceleration due to gravity(g).
A 170-N sphere 0.20 m in radius rolls without slipping 6.0 m down a ramp that is inclined at 28° with the horizontal. What is the angular speed of the sphere at the bottom of the slope if it starts from rest?
A 330-N sphere 0.20 m in radius rolls without slipping 6.0 m down a ramp that is inclined at 40° with the horizontal. What is the angular speed of the sphere at the bottom of the slope if it starts from rest?
A solid, uniform disk of radius 0.250 m and mass 53.7 kg rolls down a ramp of length 4.20 m that makes an angle of 12.0° 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/s
A 170-N sphere 0.20 m in radius rolls without slipping 6.0 m down a ramp that is inclined at 25° with the horizontal. What is the angular speed of the sphere at the bottom of the slope if it starts from rest? rad/s
A 310-N sphere 0.20 m in radius rolls without slipping 6.0 m down a ramp that is inclined at 31° with the horizontal. What is the angular speed of the sphere at the bottom of the slope if it starts from rest? X rad/s
A 210-N sphere 0.20 m in radius rolls without slipping 6.0 m down a ramp that is inclined at 25° with the horizontal. What is the angular speed of the sphere at the bottom of the slope if it starts from rest? answer in rad/s
A circular hoop of mass m, radius r, and
infinitesimal thickness rolls without slipping down a ramp inclined at an angle θ with the
horizontal. (Intro 1figure)part a)What is the acceleration of
the center of the hoop?Express the acceleration in terms of physical constants and all or some of the
quantities m,r,and θ.part b)What is the minimum coefficient of
(static)friction needed
for the hoop to roll without slipping? Note that it is static and
not kinetic friction that is relevant here,...
A solid sphere of mass M and radius R sits on a an incline of angle θ, when it is let go it rolls down-hill without slipping at total vertical distance of h. At the bottom of the hill the ball moves onto a horizontal surface and enters into a completely elastic collision with a stationary block of height 2R and mass 2M. Find the speed of the block right after the collision.
A thin hoop of radius r = 0.82 m and mass M = 7.3 kg rolls without slipping across a horizontal floor with a velocity v = 1.1 m/s. It then rolls up an incline with an angle of inclination theta = 44 degrees. a) What is the maximum height h reached by the hoop before rolling back down the incline? b) Now, suppose a uniform solid sphere is used instead of a hoop. Use the same values of r,...