Question

A hollow, spherical shell with mass 2.00 kg rolls without slipping down a 33.0 slope.

1. Find the acceleration.

2. Find the friction force.

3. Find the minimum coefficient of static friction needed to prevent slipping.

Answer 1

ingrinak ngeosco 8=33 as Torque >0) linear aceleration = Ia or FR Man of the hollow spherical shell m=2 kg Here, balonncing forces F=friction force sino - F= ongs FR FR ₃ m R² & I = moment of inertia 2 a angular aceleration a = 0 mra R = radion of the F = ma From Eq. (1) mg sino Ş or 95 2 m. R² FR 고 shell. . =ma. sino nas ngs 10-33 3/5g5 sino 3* 9.8* Sin 33 = 3.2 m/s² The acclenation aa . 3.2 m/s² e) Friction force Fama = x 2x 3.2 4:27 N. F esscanned with CamScanner

3) Normal tonice = ng coso = 2x 959x cos33 =16.44 N . Friction force F = UN u = F N 4.27 16.44 c0:26 : The minimum conefficient of static friction needed to prevent slipp ing is li=o.26 CScanned with CamScanner