A block of mass M is pulled along a horizontal frictionless sur face by a rope of mass m , as shown in Fig. 5-63. A horizontal force F → acts on one end of the rope. (a) Show that the rope must sag, even if only by an imperceptible amount. Then, assuming that the sag is negligible, find (b) the acceleration of rope and block, (c) the force on the block from the rope, and (d) the tension in the rope at its midpoint. Figure 5-63 Problem 76.
A block of mass M is pulled along a horizontal frictionless sur face by a rope of mass m , as shown in Fig. 5-63. A horizontal force F → acts on one end of the rope. (a) Show that the rope must sag, even if only by an imperceptible amount. Then, assuming that the sag is negligible, find (b) the acceleration of rope and block, (c) the force on the block from the rope, and (d) the tension in the rope at its midpoint. Figure 5-63 Problem 76.
A block of mass M is pulled along a horizontal frictionless sur face by a rope of mass m, as shown in Fig. 5-63. A horizontal force
F
→
acts on one end of the rope. (a) Show that the rope must sag, even if only by an imperceptible amount. Then, assuming that the sag is negligible, find (b) the acceleration of rope and block, (c) the force on the block from the rope, and (d) the tension in the rope at its midpoint.
(1) The 3-block system shown below is on a surface that is so slippery you may consider it to be frictionless. The
3.0 kg and 1.0 kg masses are connected by a very light rope, and a force F = 84 N force acts directly on the 2.0
kg mass as shown.
(a) Calculate:
the tension in the rope
•
the force exerted on the 2.0 kg block by the 3.0 kg block
• the force exerted on the 3.0 kg block by the 2.0 kg block.
[answer: tension in rope = 14 N; F30n2 = F2on3 = 56 N]
(b) Suppose all three blocks had a common speed of 42 m/s to the left at the moment the force F was applied.
How long will it take the motion of the blocks to reverse direction after F is applied? [answer: 3.0 s]
1.0 kg
F
2.0 kg
3.0 kg
On a horizontal plane a block of mass m = 0.30 kg is placed and initially held at rest. To this block a massless string is attached and it initially keeps another block of mass M = 0.50 kg vertically at rest via a fixed pulley as shown in Figure. The coefficient of
kinetic friction between the block m and the plane is Pk -0.25, but the friction between the block M and the vertical wall is zero. Calculate the tension T by string in N. (Hint: First calculate the acceleration of m or M. And set up the equation of motion for M
to find the tension T.)
T
m
M
EX (2):
A wooden block ( 3000 N) weight , the
coefficient of friction between the block and
the floor is ( 0.35 ) , Determine whether
pushing or pulling process by the force ( P ) is
suitable to make the block tend to move to the
30°
30°
3000 N
right with a least force ( P ),(i.e,which is easy pushing or pulling )
Solution:
In case of Pushing
EF, = 0
Prin 30
N
Campbell Essential Biology with Physiology (5th Edition)
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