Lifting granite and dumping dirt
Blocks of granite, each with weight W1, are being hauled up a 15° slope out
of a quarry (Figure 5.4). For environmental reasons, dirt is also being
dumped into the quarry to fill up old holes. You have been asked to find a
way to use this dirt to move the granite out more easily. You design a system
that lets the dirt (weight W2, including the weight of the bucket) that drops
vertically into the quarry pull out a granite block on a cart with steel wheels
(total weight Wi). rolling on steel rails. Ignoring the weight of the cable and
friction in the pulley and wheels, determine how the weights W1 and W2 must
be related for the system to move with constant speed.
Acceleration down a hill
loaded with vacationing students (total weight w) slides down a long, snow-covered slope. at The all.
A hill toboggan constant angle a, and the toboggan is so well waxed that there is virtually no friction toboggan.
Find slopes the toboggan's at a acceleration and the magnitude n of the normal force the hill exerts on the
An air track in a physics lab
Figure 5.9 shows a glider with mass 111 that moves on'a level, frictionless air track in a physics lab. It is
connected by a string passing over a small frictionless pulley to a hanging weight with total mass m2. The
string is light and flexible, and it doesn't stretch. Find the acceleration of each object and the tension in
Delivering the goods
A delivery company has just unloaded a 500 N crate full of home exercise equipment in your level drive-
way. You find that to get it started moving toward your garage, you have to pull with a horizontal force of
magnitude 230 N. Once it "breaks loose" and starts to move, you can keep it moving at constant velocity
with only 200 N of force. What are the coefficients of static and kinetic friction?
3. A man sits in a seat that is suspended from a rope. The rope
passes over a pulley suspended from the ceiling, and the man
holds the other end of the rope in his hands. What is the ten-
sion in the rope, and what force does the seat exert on the
man? Draw a free-body force diagram for the man.
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