Question
please help me with question 51
50 You and your best pal make a friendly bet that you can place a 2.0-kg box against the side of a cart, as in Figure 5-63, and that the box will not fall to the ground, even though you guarantee to use no hooks, ropes, fasteners, magnets, glue, or adhesives of any kind. When your friend accepts the bet, you begin pushing the cart in the direction shown in the figure. The coefficient of static friction between the box and the cart is 0.60. (a) Find the minimum acceler- ation for which you will win the bet. (b) What is the magnitude of the frictional force in this case? (c) Find the force of friction on the box if the acceleration is twice the minimum needed for the box not to fall. (d) Show that, for a box of any mass, the box will not fall if the magnitude of the forward acceleration is a 2 yjus, where , is the coefficient of static friction. 54 a hori block angle block starts keep i pullin 55 . that pus 56. a horiz Figure and has relative by the 1 acting o mass fal mass? (A i1 FIQURE B 63 Problem 50 51Two blocks attached by a string (Figure 5-64) slide down a 10° incline, Block 1 has mass mi = 0.80 kg and block 2 has mass m 0.25 kg. In addition, the kinetic coefficients of friction between the blocks and the incline are 0.30 fo Find (a) the magnitude of the acceleration of the blocks, and (b) the tension in the string r block 1 and 0.20 for block 2 FIGUR FIGURE 5 64 Problems 51 and 52 57 52 Two blocks of masses m, and m, are sliding down an 60-kg blo incline as shown in Figure 5-64. They are connected by a massless of 320 N rod. The coefficients of kinetic friction between the block and the tion betw surface are for block 1 and 2 for block 2, (a) Determine the but there
Explanation / Answer
The value of maximum friction for block 1 is approx 2.35 N. and for block 2 is 0.49 N which is greater than the component of gravitational force mgsin(10deg) for both blocks which is 1.36 N and 0.43 N respectively. So the blocks don't move implies Accleration is Zero for both
2. Tension developed in the string is also zero.