Assume the cylinder in Figure P3.31 rolls without slipping. Neglect the mass of the pulleys and derive the equation of motion of the system in terms of the displacement x.

3.1.2 HYPOTHESIS TESTS 1) A statistical hypothesis is the claim that some population characteristic is equal to a certain value a. The null hypothesis (denoted by H ) is the hypothesis that is initially assumed to be true 0 b. The alternate hypothesis (denoted by H ) i1 the complementary to H , usu0lly the hypothesis that is wished to be tested. 2) Test procedure a. Created under the assumption of the null and then it is determined how likely that assumption is compared to the alternate i. Test statistic- a function of the sampled data ii. Rejection region/criteria- set of all test statistic values for w