(a) You are given a solid sphere of 20 kg and radius 40 cm. What is...
A solid sphere of mass 1.5 kg and radius 15 cm rolls without slipping down a 35° incline that is 7.9 m long. Assume it started from rest. The moment of inertia of a sphere is given by I = 2/5MR2. (a) Calculate the linear speed of the sphere when it reaches the bottom of the incline. (b) Determine the angular speed of the sphere at the bottom of the incline.
A solid cylinder with a radius of 4.0 cm has the same mass as a solid sphere of radius R. If the cylinder and sphere have the same moment of inertia about their centers, what is the sphere's radius?
A uniform wooden meter stick has a mass of m = 799 g. A clamp can be attached to the measuring stick at any point Palong the stick so that the stuck can rotate freely about point P, which is at a distance d from the zero-end of the stick as shown. Part (a) Calculate the moment of inertia in kg-m of the meter stick if the pivot point P is at the 50-cm mark. Part (b) Calculate the moment of inertia...
A solid metal sphere has a radius of 3.83 cm and a mass of 1.624 kg . What is the density of the metal in g/cm3? (The volume of sphere is V=43πr3.)
A solid sphere with a mass of 2 kg and a radius of 30 cm rolls down a 15° incline. What is the acceleration of the sphere?
A solid sphere of radius .25m and a mass of 3kg is welded to a rod of length 1m and mass 2kg. what is the moment of inertia about the end of the rod opposite to the sphere?
5. A uniform solid sphere rolls without slipping down a 19° inclined plane. What is the acceleration of the sphere's center of mass? The moment of inertia of a uniform solid sphere about an axis that passes through its center = ⅖mr². The moment of inertia of a uniform solid sphere about an axis that is tangent to its surface = 7⁄5mr².
SA1. What is the moment of inertia of a solid cylinder which is to be rotated like a wheel about an axis running lengthwise through its center, if the cylinder has a mass of 1,.25 kg, a length of 3.40 m, and a radius of 0.40 m? 一01rary? // 2. mrzltot ; Σ nǐ rf nn-O-40wn 2 ニア XI 25x0402 :01 ㎏.m2 0.05 ol0 SA2. You have a meter stick which balances at the 50 cm mark. You attach a...
1. A solid sphere with mass M- 10 kgand radius R 20 cmexperiences a tangential force F-200 N at its surface. Find the angular acceleration of the sphere. (Hint the moment of inertia of a solid sphere about its center of massisMR?)
1. A solid sphere with mass M- 10 kgand radius R 20 cmexperiences a tangential force F-200 N at its surface. Find the angular acceleration of the sphere. (Hint the moment of inertia of a solid sphere about...
In the figure below, a solid sphere, of radius a = 1.70 cm is concentric with a spherical conducting shell of inner radius b 2.00a and outer radius c = 2.40a. The sphere has a net charge q1 = +6.00 fc which is distributed uniformly through the sphere, the shell has a net charge of q2-q1 (g) What is the net charge on the inner surface of the shell? fc (h) What is the net charge on the outer surface...