Physics Fundamentals
2nd Edition
ISBN: 9780971313453
Author: Vincent P. Coletta
Publisher: PHYSICS CURRICULUM+INSTRUCT.INC.
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Chapter 4, Problem 40P
To determine
To Find: The acceleration of 1 kg block.
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(III) (a) Suppose the coefficient of kinetic friction between
ma and the plane in Fig. 4-62 is µk = 0.15, and that
mA = mB = 2.7 kg. As mB moves down, determine the
magnitude of the acceleration of ma and mg, given 0 = 34°.
(b) What smallest value of pk will keep the system from
accelerating? [Ignore masses of the (frictionless) pulley and
the cord.]
mB
FIGURE 4-62
Problem 67.
(III) Two masses ma = 2.0 kg and mg = 5.0 kg are on
inclines and are connected together by a string as shown in
Fig. 4-61. The coefficient of kinetic friction between each
mass and its incline is uk = 0.30. If ma moves up, and mB
moves down, determine their acceleration. [Ignore masses
of the (frictionless) pulley and the cord.]
mB
51°
21°
FIGURE 4–61 Problem 65.
3-39. A "scale" is constructed with a 4-ft-long cord and the 10-lb block D. The cord is fixed to a pin at A and passes over two small pulleys. Determine the weight of the suspended block B if the system is in equilibrium when s=1.5 ft
Chapter 4 Solutions
Physics Fundamentals
Ch. 4 - Prob. 1QCh. 4 - Prob. 2QCh. 4 - Prob. 3QCh. 4 - Prob. 4QCh. 4 - Prob. 5QCh. 4 - Prob. 6QCh. 4 - Prob. 7QCh. 4 - Prob. 8QCh. 4 - Prob. 9QCh. 4 - Prob. 10Q
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- (III) Suppose the pulley in Fig. 4–55 is suspended by a cord C. Determine the tension in this cord after the masses are released and before one hits the ground. Ignore the mass of the pulley and cords. 1.2 kg 3.2 kg FIGURE 4-55 Problem 35.arrow_forwardTwo blocks made of different materials, connected by a thin cord, slide down a plane ramp inclined at an angle 0 to the horizontal, Fig. 4–76 (block B is above block A). The masses of the blocks are ma and mB, and the coefficients of fric- tion are ua and µr. If ma = mß = 5.0 kg, and HA = 0.20 and uR = 0.30, determine (a) the acceleration of the blocks and (b) the tension in the cord, for an angle 0 = 32°. MB FIGURE 4–76 Problem 94.arrow_forwardA train locomotive is pulling two cars of the same mass behind it, Fig. 4–51. Determine the ratio of the tension in the coupling (think of it as a cord) between the locomotive and the first car (FT1), to that between the first car and the second car (FT2), for any nonzero acceleration of the train. You need to draw a FBD for each car.arrow_forward
- Three mountain climbers who are roped together in a line are ascending an icefield inclined at 31.0° to the horizontal (Fig. 4-69). The last climber slips, pulling the second climber off his feet. The first climber is able to hold them both. If each climber has a mass of 75 kg, calculate the ten- sion in each of the two sections of rope between the three climbers. Ignore friction between the ice and the fallen climbers. 31.0° FIGURE 4-69 Problem 83.arrow_forwardThe block shown in Fig. 4-59 has mass m=7.0 kg and lies on a fixed smooth frictionless plane tilted at an angle (theta)= 22.0 degrees to the horizontal. (a) Determine the acceleration of the block a step it slides down the plane. (b) If the block starts from rest 12.0m up the plane from its base, what will be the block’s speed when it reaches the bottom of the incline?arrow_forward(II) A train locomotive is pulling two cars of the same mass behind it, Fig., 4–51. Determine the ratio of the tension in the coupling (think of it as a cord) between the locomotive and the first car (Fr1), to that between the first car and the second car (Fr2), for any nonzero acceleration of the train. Car 2 Car 1 FIGURE 4–51 Problem 27.arrow_forward
- The 10-kg lamp in Fig. 3-11a is suspended from the three equal-length cords. Determine its smallest vertical distance s from the ceiling if the force developed in any cord is not allowed to exceed 50 N.arrow_forwardAs shown in Fig. 4–70, five balls (masses 2.00, 2.05, 2.10, 2.15, 2.20 kg) hang from a crossbar. Each mass is sup- ported by "5-lb test" fishing line which will break when its tension force exceeds 22.2 N (= 5.00 lb). When this device is placed in an elevator, which accelerates upward, only the lines attached to the 2.05 and 2.00 kg masses do not break. Within what range is the elevator's acceleration? 2.20 2.15 2.10 .05 2.00 kg| FIGURE 4-70 Problem 84.arrow_forwardThe normal force on an extreme skier descending a very steep slope (Fig. 4–42) can be zero if(a) his speed is great enough.(b) he leaves the slope (no longer touches the snow).(c) the slope is greater than 75°.(d) the slope is vertical (90°).arrow_forward
- (II) Two snowcats in Antarctica are towing a housing unit north, as shown in Fig. 4–50. The sum of the forces F→A and F→B exerted on the unit by the horizontal cables is north, parallel to the line L, and FA = 4500 N. Determine FB and the magnitude of F→A+F→B.arrow_forwardBob traverses a chasm by stringing a rope between a tree on one side of the chasm and a tree on the opposite side, 25 m away, Fig. 4–65. Assume the rope can provide a tension force of up to 29 kN before breaking, and use a "safety factor" of 10 (that is, the rope should only be required to undergo a tension force of 2.9 kN). (a) If Bob's mass is 72.0 kg, determine the distance x that the rope must sag at a point halfway across if it is to be within its recommended safety range. (b) If the rope sags by only one- fourth the distance found in (a), determine the tension force in the rope. Will the rope break? FIGURE 4–65 Problem 74.arrow_forwardA stone hangs by a fine thread from the ceiling, and a section of the same thread dangles from the bottom of the stone (Fig. 4–36). If a person gives a sharp pull on the dangling thread, where is the thread likely to break: below the stone or above it? What if the person gives a slow and steady pull? Explain your answers. FIGURE 4-36 Question 9.arrow_forward
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