Asked by king
A block is at rest on the incline shown in the
figure. The coefficients of static and kinetic
friction are µs = 0.4 and µk = 0.34, respectively.
The acceleration of gravity is 9.8 m/s.
What is the largest angle which the incline
can have so that the mass does not slide down
the incline?
Answer in units of degrees
figure. The coefficients of static and kinetic
friction are µs = 0.4 and µk = 0.34, respectively.
The acceleration of gravity is 9.8 m/s.
What is the largest angle which the incline
can have so that the mass does not slide down
the incline?
Answer in units of degrees
Answers
Answered by
Damon
normal force = m g cos T
force holding block = .4 m g cos T
force of gravity down slope = m g sin T
so
.4 cos T = sin T
so
tan T = .4
T = 21.8 degrees
force holding block = .4 m g cos T
force of gravity down slope = m g sin T
so
.4 cos T = sin T
so
tan T = .4
T = 21.8 degrees
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