Chapter 10
1. (p.276 prob.88) A cyclist accelerates from rest at a rate of 1.00m/s2. How fast will a point on the rim of the tire (diameter = 68cm) at the top be moving after 3.0s? See Fig. 10-64.
|
|
|
2. (p.276 prob.92) The forearm in Fig. 10-66 accelerates a 1.00kg ball at 7.0m/s2 be means of the triceps muscle as shown. Calculate (a) the torque needed and (b) the force that must be exerted by the triceps muscle. Ignore the mass of the arm.
3. (p.277 prob.98) (a) Calculate the translational and rotational speeds of a sphere (radius 20.0cm and mass 2.20kg), that rolls without slipping down a 30.0° incline that is 10.0m long, when it reaches the bottom. Assume it started from rest. (b) What is its ratio of translational to rotational kinetic energy at the bottom? Avoid putting in numbers until the end so you can answer: (c) do your answers in (a) and (b) depend on the radius of the sphere or its mass?
4. (p.277 prob.102) An Atwood's machine consists of two masses, m1 and m2, which are connected by a massless inelastic cord that passes over a pulley, Fig. 10-70. If the pulley has radius R and moment of inertia I about its axle, determine the acceleration of the masses m1 and m2, and compare to the situation in which the moment of inertia of the pulley is ignored. [Hint: The tensions FT1 and FT2 are not necessarily equal.]
|
|
|
5.(p.278 prob.106) A crucial part of a piece of machinery start as a flat uniform cylindrical disk of radius R0 and mass M. It then has a circular hole of radius R1drilled into it (Fig. 10-73). The hole's center is a distance h from the center of the disk. find the moment of inertia of this disk (with off-center hole) when rotated about its center, C. [Hint: Consider a solid disk and "subtract" the hole; use the parallel-axis theorem.]
