d
y=0
T
1. Free Body Diagrams: You are helping a friend move from oneapartment to another.
You have loaded his grand piano (m1 = 610. pounds, where 1.00 pound= 0.45359237
kg) into a U-Haul and want to use a rope to help you (slowly) lowerthis to the ground
on a ramp. Your U-Haul has a height of h = 33.0 inches (1 meter =39.37â and 12
inches = 1 foot). You have a ramp that is d = 10.0 feet long tohelp you slide this
down to the ground. The kinetic coefficient of friction of the rampis µK = 0.25 and the
static coefficient of friction is µS = 0.50. Neglect any effects ofthe drag force on this
problem. The massless rope is over a frictionless pulley in thisexample, as indicated in
the diagram.
(a)What is the force of friction (in Newtons, as a vector) on thispiano while
it is moving with a nonzero speed?
2010.
(b)What is the tension on the rope if the piano moves from the topof the
ramp to the bottom of the ramp in 45.0 seconds with a constantacceleration?
(c)If the rope can support a tension of no more than 13300. N offorce
before it breaks, what is the largest mass (in kilograms) that thisrope can hold in
a fixed position at the top of the ramp?
d
y=0
T
1. Free Body Diagrams: You are helping a friend move from oneapartment to another.
You have loaded his grand piano (m1 = 610. pounds, where 1.00 pound= 0.45359237
kg) into a U-Haul and want to use a rope to help you (slowly) lowerthis to the ground
on a ramp. Your U-Haul has a height of h = 33.0 inches (1 meter =39.37â and 12
inches = 1 foot). You have a ramp that is d = 10.0 feet long tohelp you slide this
down to the ground. The kinetic coefficient of friction of the rampis µK = 0.25 and the
static coefficient of friction is µS = 0.50. Neglect any effects ofthe drag force on this
problem. The massless rope is over a frictionless pulley in thisexample, as indicated in
the diagram.
(a)What is the force of friction (in Newtons, as a vector) on thispiano while
it is moving with a nonzero speed?
2010.
(b)What is the tension on the rope if the piano moves from the topof the
ramp to the bottom of the ramp in 45.0 seconds with a constantacceleration?
(c)If the rope can support a tension of no more than 13300. N offorce
before it breaks, what is the largest mass (in kilograms) that thisrope can hold in
a fixed position at the top of the ramp?
