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Chapter 6: Q44P (page 143)
During an Olympic bobsled run, the Jamaican team makes a turn of radius at a speed of . What is their acceleration in terms of?
The acceleration in terms of g is.
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Body A in Fig. 6-33 weighs , and body B weighs . The coefficients of friction between A and the incline are and . Angle is . Let the positive direction of an axis be up the incline. In unit-vector notation, what is the acceleration of A if A is initially (a) at rest, (b) moving up the incline, and (c) moving down the incline?
In Fig. 6-15, a horizontal force of 100Nis to be applied to a 10kg slab that is initially stationary on a frictionless floor, to accelerate the slab. A 10kg block lies on top of the slab; the coefficient of friction between the block and the slab is not known, and the block might slip. In fact, the contact between the block and the slab might even be frictionless. (a) Considering that possibility, what is the possible range of values for the magnitude of the slab鈥檚 accelerationlocalid="1657173176346" ? (Hint:You don鈥檛 need written calculations; just consider extreme values for m.) (b) What is the possible range for the magnitudelocalid="1657173167508" of the block鈥檚 acceleration?
In Fig. 6-62, a 5.0 kgblock is sent sliding up a plane inclined at while a horizontal force of magnitude 50 Nacts on it. The coefficient of kinetic friction between block and plane is0.30. What are the (a) magnitude and (b) direction (up or down the plane) of the block鈥檚 acceleration? The block鈥檚 initial speed is 4.0 m/s. (c) How far up the plane does the block go? (d) When it reaches its highest point, does it remain at rest or slide back down the plane?
A box is on a ramp that is at angleto the horizontal. As is increased from zero, and before the box slips, do the following increase, decrease, or remain the same: (a) the component of the gravitational force on the box, along the ramp, (b) the magnitude of the static frictional force on the box from the ramp, (c) the component of the gravitational force on the box, perpendicular to the ramp, (d) the magnitude of the normal force on the box from the ramp, and (e) the maximum value of the static frictional force?
In Fig. 6-34, blocks A and B have weights of and , respectively. (a) Determine the minimum weight of block C to keep A from sliding if between A and the table is . (b) Block C suddenly is lifted off A. What is the acceleration of block A if between A and the table is ?
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