Calculate the (a) translational (v) and (b) angular speeds of a sphere of radius R that rolls without friction down an inclinde of height H without slipping. This question has a symbolic answer, not a numeric one. Show your work.
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Calculate the (a) translational (v) and (b) angular speeds of a sphere of radius R that...
A sphere of radius r =34.5 cm and mass m = 1.80 kg starts from rest and rolls without slipping down a 30.0? incline that is 10.0m long. Part A Calculate its translational speed when it reaches the bottom. v= Part B Calculate its rotational speed when it reaches the bottom. Express your answer using three significant figures and include the appropriate units. w = Part C What is the ratio of translational to rotational kinetic energy at the bottom?...
A sphere of radius r =34.5 cm and mass m = 1.80 kg starts from rest and rolls without slipping down a 30.0° incline that is 10.0 m long.A) Calculate its translational speed when it reaches the bottom.B) Calculate its rotational speed when it reaches the bottom. C) What is the ratio of translational to rotational kinetic energy at the bottom? D) Avoid putting in numbers until the end so you can answer: do your...
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Problem 5 A solid sphere of mass M-2.00 ks (uniformly distributed) and radius R -0.100 m starts from rest at the top of an inclined plane of length L - 1.50 m and height H-0.500 m. The coefficient of static friction between the sphere and the inclined plane is H, -0.400. The sphere rolls without slipping down the inclined plane. The moment of inertia of the sphere about an axis through its center of mass is given by...
A sphere of radius r = 34.5 cm and mass m = 1.80 kg starts from rest and rolls without slipping down a 30.0° incline that is 10.0 m long. Part A Calculate its translational speed when it reaches the bottom. Express your answer using three significant figures and include the appropriate units. A Value Units Submit Request Answer Part B Part B Calculate its rotational speed when it reaches the bottom. Express your answer using three significant figures and...
A solid uniform sphere rolls without slipping along a horizontal surface with translational speed v, comes to a ramp, and rolls without slipping up the ramp to height h, as shown. Assuming no losses to friction, heat, or air resistance, what is h in terms of v? The moment of inertia of a rolling solid sphere is Icm=2/5MR2. Assume acceleration due to gravity is g= 9.8 m/s2. A.7v^2/10g B.v^2/2g C.v^2/7g D.3v^2/10g
Q10 A hollow sphere and a hoop of the same mass and radius are released at the same time at the top of an inclined plane. If both are uniform, (1) Which one reaches the bottom of the incline first if there is no slipping? (2) A uniform hollow sphere of mass 120 kg and radius 1.7 m starts from rest and rolls without slipping dow an inclined plane of vertical height 5.3 m. What is the translational speed of...
A uniform solid sphere of mass M=2kg and radius R=0.42m is given an initial angular speed w=10.1rad/s when it is at the bottom of an inclined plane of height h=2.5m, as shown in the figure. The sphere rolls without slipping. Find w if the sphere comes to rest at the top of the inclined plane. (Take g=9.81 m/s2, Isphere = 2/5 MR2 ). Express your answer using one decimal place. M.R
A uniform, solid sphere of radius 4.00 cm and mass 2.00 kg starts with a translational speed of 2.00 m/s at the top of an inclined plane that is 1.00 m long and tilted at an angle of 20.0° with the horizontal. Assume the sphere rolls without slipping down the ramp. 1) Calculate the final speed of a solid sphere. (Express your answer to three significant figures.)
A uniform solid sphere with a mass M = 2.0 kg and a radius R = 0.10 m is set into motion with an angular speed ωo = 70 rad/s. At t = 0 the sphere is dropped a short distance (without bouncing) onto a horizontal surface. There is friction between the sphere and the surface. Find (a) the angular speed of rotation when the sphere finally rolls without slipping at time t = T and (b) the amount of...
AP Physics C FRQ
3. A sphere of mass m and radius r is released from rest at the top of a curved track of height H. The sphere travels down the curved track and around a loop of radius R. The sphere rolls without slipping during the entire motion. Point A on the loop is at height R, and point B is at the top of the loop. The rotational inertia of the sphere is 2mr2/s. Express all of...