
1. (20 points) A hollow sphere of radius r and mass m starts from rest and...
1. (20 points) A hollow sphere of radius r and mass m starts from rest and rolls down the mountainside and then up the opposite side, as shown in Figure 1.The initial height is Ho. The rough part prevents slipping while the smooth part has no friction. The horizontal surface is smooth. How high, in terms of Ho. will the sphere roll up the other side? Smooth Rough Ho
Constants A basketball (which can be closely modeled as a hollow spherical shell) rolls down a mountainside into a valley and then up the opposite side, starting from rest at a height Ho above the bottom. In the figure, the rough part of the terrain prevents slipping while the smooth part has no friction. (Figure 1) Part A How high, in terms of Ho, will it go up the other side? O ACOM O Submit Request Answer Figure < 1...
Suppose a hallow sphere of radius R and mass M starts from rest at a height of 1.5m and rolls down an incline with a slope of 30.0º. What is the linear speed of the hollow sphere when it leaves the incline? You may assume that the hollow sphere rolls without slipping.
A sphere of mass M and radius R starts at rest and rolls without slipping down an incline and embeds itself in a hollow cube at the bottom that is only 1/5 its mass. If the incline is h tall and the table has a height of D from the floor, at what horizontal distance from the table do the two objects land? The cube/sphere combination leaves the incline moving horizontally.
Constants A thin-walled, hollow spherical shell of mass m and radius r starts from rest and rolls without slipping down the track shown in the figure (Figure 1). Points A and B are on a circular part of the track having radius R. The diameter of the shell is very small compared to ho and R, and the work done by the rolling friction is negligible Part A What is the minimum speed of the shell at point A for...
A solid spherical ball of mass m and radius r
starts to move down from rest at a height H as shown. The
downward part of the road is rugged, that is, some friction exists
until it arrives at the horizontal part. But after that there is no
friction on the smooth part. Until which height (in terms of
H) does the ball climb on the smooth part?
3- A solid spherical ball of mass m and radius r starts...
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 hollow sphere of mass m = 0.35 kg and radius r = 64 cm rolls along a flat surface at an initial speed of v, and then up a curved ramp with radius of curvature 4.7 m without slipping, until it reaches a maximum angle of 12 degrees around the curve and starts to roll backward. What was the initial speed of the ball in units of meters/second?
A ball with a radius r and a mass m starts from rest and then
rolls without slipping a distance L down a roof sloped at an angle
θ. The ball comes off the roof a height H above the ground. Derive
an expression for the ball’s speed v, just as it leaves the roof,
in terms of g, L, and θ:
A. If the ball is a solid sphere.
B.If the ball is a hollow sphere.
C. For each...
A 3 kg hollow sphere with a radius of 15 cm rolls without slipping down a rough incline of 35 angle. If the sphere rolls from rest, from a height of 45 cm, determine its angular speed at the bottom of the incline.