A block with mass m = 5.00 kg slides down a surface inclined 36.9to the horizontal (See Fig 10.55 University Phsics 12Th). Thecoefficient of kinetic friction is 0.22. A string attached to theblock is wrapped around a flywheel on a fixed axis at O. Theflywheel has mass 27.5 kg and moment of inertia 0.496 kg Â· m2 withrespect to the axis of rotation. The string pulls without slippingat a perpendicular distance of 0.190 m from that axis.

(a) What is the acceleration of the block down the plane?
(b) What is the tension in the string?
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A block with mass m = 5.00 kg slides down a surfaceinclined 36.9 to the horizontal. The coefficient of kineticfriction is 0.20. A stringattached to the block is wrapped around a flywheel on a fixed axisat O. The flywheel has mass 21.0 kg and moment of inertia 0.580 kg Â· m² with respect tothe axis of rotation. The string pulls without slipping at aperpendicular distance of 0.235m from that axis.

What is the acceleration of the block down the plane?
and

What is the tension in the string?

9.77 - Two metal disks, one with radius R1 = 2.50 cm and mass M = Figure P9.77 0.80 kg and the other with radius R2 = 5.00 cm and mass M2 = 1.60 kg. are welded together and mounted on a frictionless axis through their common center (Fig. P9.77). (a) What is the total moment of inertia of the two disks? (b) A light string is wrapped around the edge of the smaller disk, and a 1.50-kg block is suspended from the free end of the string. If the block is released from rest at a distance of 2.00 m above the floor, what is its speed just before it strikes the floor? (C) Repeat part (b), this 1.50 kg time with the string wrapped around the edge of the larger disk. In which case is the final speed of the block greater? Explain.

Some Problems on Work
1. Joe is pulling a box of mass m = 10 kg up an inclined surface (?= 30degrees) using
a rope. The coefficient of kinetic friction between the surface andthe box is
Âµk = 0.5. It takes 10 seconds for Joe to bring up a box at aconstant velocity
V = 0.8m=s.
(a) What is the tension of the rope?
(b) What is the work done by the tension?
(c) What is the work done by the normal force?
(d) What is the work done by gravity?
(e) What is the total work done on the box?
(f) What is the power output necessary to Joe to bring up thebox?
maximal compression of the spring?
2. A block (m=50 kg) slides down a 3 m long inclined surface (? =30). The
coefficient of kinetic friction between the block and the surfaceis Âµk = 0.3.
Calculate the nal velocity of the block using the work-energytheorem.
3. A pendulum of length l and mass m is released from rest at anangle ? from
the equilibrium position.
(a) Neglect air friction. Calculate the velocity of the pendulumwhen the angle
is zero. Express your result in terms of ?, l, and m.
(b) Suppose ? = 60 degrees and l = 1 m. Suppose that the velocityof the pendulum
when the angle is zero is 1 m/s. Calculate the work done by the airfriction.
4. A point particle of mass m = 20 g is moving on a
at
surface when it reaches a slope which brigs it up by h = 08 m. Thespeed of
the particle in position A is v = 5 m/s.
(a) Suppose that there is no friction. What is the velocity of theparticle when
it reaches position B?
(b) Suppose that there is friction, and that the velocity of theparticle in B is
0. What is the work done by the friction from A to B?
5. A ball is shoot vertically with initial speed v, from a
table of height h.
(a) Calculate the maximal height ymax that the ball can reach (b)Calculate the velocity of the ball just before it hits thefloor.

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