Problems are listed in approximate order of difficulty. A single dot (•) indicates straightforward problems involving just one main concept and sometimes requiring no more than substitution of numbers in the appropriate formula. Two dots (••) identify problems that are slightly more challenging and usually involve more than one concept. Three dots (•••) indicate problems that are distinctly more challenging, either because they are intrinsically difficult or involve lengthy calculations. Needless to say, these distinctions are hard to draw and are only approximate.
•• At time t = 0, a block is released from the point O on the slope shown in Fig. 1. The block accelerates down the slope, overcoming the sliding friction (coefficient μ). (a) Choose axes Oxy as shown, and resolve the equation ∑F = ma into its x and y components. Hence find the block’s position (x, y) as a function of time, and the time it takes to reach the bottom. (b) Carry out the solution using axes Ox′ y′, with Ox′ horizontal and Oy′ vertical, and show that you get the same final answer. Explain why the solution using these axes is less convenient.
FIGURE 1
We need at least 10 more requests to produce the solution.
0 / 10 have requested this problem solution
The more requests, the faster the answer.