(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) (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.

Classical Dynamics of Particles and Systems

5th Edition

ISBN:9780534408961

Author:Stephen T. Thornton, Jerry B. Marion

Publisher:Stephen T. Thornton, Jerry B. Marion

Chapter2: Newtonian Mechanics-single Particle

Section: Chapter Questions

Problem 2.16P: A particle is projected with an initial velocity 0 up a slope that makes an angle with the...

See similar textbooks

Similar questions

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.
A frictionless incline is 5.00 m long (the distance from the top of the incline to the bottom, measured along the incline). The vertical distance from the top of the incline to the bottom is 2.26 m. A small block is released from rest at the top of the incline and slides down the incline. (i) How long does it take the block to reach the ground?
(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.
(II) The coefficient of kinetic friction for a 22-kg bobsledon a track is 0.10. What force is required to push it downalong a 6.0° incline and achieve a speed of 60km/h at theend of 75 m?
A toy block slides without friction along a frictionless path from one level to another, then an area with friction stops it in a distance d. If the initial speed is 8.2 m/s and h, = 105 cm, h, = 78.8 cm, h, = 43.1 cm and h, = 139.7 cm, and coefficiency of kinetic friction u, is 0.5 Find distance d (m). [Recommended time :3-5 minutes] 4 21 Oa. 216.9 Ob.-0.7 Oc. 6.2 Od. 5.5 Oe. 12.3
(i) To move a boat uniformly along the river at a given speed, a resultant force R = 520 N is required. Two men pull with force P and Q, by means of ropes to do this. The ropes make an angle of 30° and 40° respectively with the sides of the river as shown in Fig. 1. (i) Determine the force P and Q, (ii) If 01 = 30° , find the value of 02 such that the force in the rope Q is minimum. What is the minimum force Q ? 30° R 02 40° Figure 1
(II) Tarzan plans to cross a gorge by swinging in an arc from a hanging vine (Fig. 5–42). If his arms are capable of exerting a force of 1150 N on the vine, what is the maximum speed he can tolerate at the lowest point of his swing? His mass is 78 kg and the vine is 4.7 m long. FIGURE 5-42 Problem 18.
(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.
(III) Early test flights for the space shuttle used a “glider”(mass of 980 kg including pilot). After a horizontal launchat 480 km/h at a height of 3500 m, the glider eventuallylanded at a speed of 210 km/h (a) What would its landingspeed have been in the absence of air resistance? (b) Whatwas the average force of air resistance exerted on it if itcame in at a constant glide angle of 12° to the Earth’s surface?
(II) A box is given a push so that it slides across the floor.How far will it go, given that the coefficient of kinetic friction is 0.15 and the push imparts an initial speed of 3.5m/s ?
(II) A wet bar of soap slides down a ramp 9.0 m long inclined at 8.0°. How long does it take to reach the bottom? Assume µk 0.060.
(d) Calculate the value of its acceleration when the object is 9.00 cm from the equilibrium position. cm/s2