Question

How fast is the particle going after the force has entirely dissipated? [m/s]. 3.750 Marks for this submission: 3.0/3.0. Check A weight of mass 3.5 kg is attached to a rope that is wrapped around a freely rotating drum of radius 0.2 m. The drum has a mass moment of inertia of 0.52 kg.m2. (e-9.8m.s2) How many radians will the drum have travelled through when the weight drops to 2.1m? [rad] ion How fast will the weight be dropping when it has fallen 2.1 m from rest? [m.s1 How fast will the weight be dropping when it has falten through 2.1 m from rest if 14 Joules of energy is extrated from the system via friction? [m.s 1 Check Finish attempt s Quiz #1 Jump to.. Statics Homework Problems - garau 0508 Uc IT HELP (0508 824 843), 03 369 5000 ränei hel äwhina i a koe. a Matauraka o Te Whare Wänanga o Waitaha, Tautoko Hangarau kia kite al koe i ona häora tüwheratanga

Answer 1

circumference of drum=2pi*.2

=1.256m

In one revolution it covers 1.256m

in 2.1m it covers

=2.1/1.256

=1.68 revolution

=1.68*2pi radian

=3.36pi radians

b)by energy conservation

3.5*10*2.1=1/2*3.5*v^2+1/2*.52*(v/.2)^2 (angular speed of drum=velocity of weight/radius of drum)

v=2.98m/s

c)3.5*10*2.1-14=1/2*3.5*v^2+1/2*.52*(v/.2)^2

v=2.69m/s