A toy chest and its contents have a combined weight of 180 N. The coefficient of static friction between toy chest and floor is 0.42. The child in Fig. 6-35 attempts to move the chest across the floor by pulling on an attached rope. (a) If θ is 42°, what is the magnitude of the force F → that the child must exert on the rope to put the chest on the verge of moving? (b) Write an expression for the magnitude F required to put the chest on the verge of moving as a function of the angle θ. Determine (c) the value of θ for which F is a minimum and (d) that minimum magnitude. Figure 6-35 Problem 30.
A toy chest and its contents have a combined weight of 180 N. The coefficient of static friction between toy chest and floor is 0.42. The child in Fig. 6-35 attempts to move the chest across the floor by pulling on an attached rope. (a) If θ is 42°, what is the magnitude of the force F → that the child must exert on the rope to put the chest on the verge of moving? (b) Write an expression for the magnitude F required to put the chest on the verge of moving as a function of the angle θ. Determine (c) the value of θ for which F is a minimum and (d) that minimum magnitude. Figure 6-35 Problem 30.
A toy chest and its contents have a combined weight of 180 N. The coefficient of static friction between toy chest and floor is 0.42. The child in Fig. 6-35 attempts to move the chest across the floor by pulling on an attached rope. (a) If θ is 42°, what is the magnitude of the force
F
→
that the child must exert on the rope to put the chest on the verge of moving? (b) Write an expression for the magnitude F required to put the chest on the verge of moving as a function of the angle θ. Determine (c) the value of θ for which F is a minimum and (d) that minimum magnitude.
A 2.20 kg block is initially at rest on a horizontal surface. A horizontal force of magnitude 4.83 N and a vertical force are then applied to the block (Fig. 6-17). The coefficients of friction for the block and surface are µs = 0.4 and µk = 0.25. Determine the magnitude of the frictional force acting on the block if the magnitude of is (a) 8.00 N and (b) 12.0 N. (The upward pull is insufficient to move the block vertically.)
The coefficient of static friction between a block of mass
m and an incline is = 0•3. (a) What can be the
maximum angle e of the incline with the horizontal so
that the block does not slip on the plane ? (b) If the incline
makes an angle 8/2 with the horizontal, find the
frictional force on the block.
NEWTON'S LAWS WITH FRICTION PH 421
5 0 A 2.5 kg block is initially at rest on a horizontal surface. A
horizontal force F of magnitude 6.0 N and a vertical force P are
then applied to the block (Fig. 6-17). The coefficients of friction for
the block and surface are M,
magnitude of the frictional force acting on the block if the magni-
tude of P is (a) 8.0 N, (b) 10 N, and (c) 12 N.
= 0.40 and H = 0.25. Determine the
%3D
N.
F.
Flg. 6-17 Problem 5.
Physics for Scientists and Engineers with Modern Physics
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.