There is log of mass M, radius R.You can consider it as a uniform solid cylinder...

 

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There is log of mass "M", radius "R".You can consider it as a uniform solid cylinder (I=MR2/2). It rolls down a hill of height "H". After the hill it rolls on a flat surface and climbs the hill on the opposite side. The gravitational acceleration is "g", the angle of the second hill is o.The coefficient of friction "" is sufficient to prevent sliding and there are no rolling losses. What is the conserved quantity in this motion? (a) Angular momentum (b) Kinetic energy (c) Linear momentum (d) Potential energy (e) Mechanical energy What is the kinetic energy of the log at the bottom? (a) MgH (b) 0 (c) 2/3MgH (d) 3/2MgH (e) 1/2MgH What is the linear speed of the log at the bottom? (a) 2gH (b) 1/2gH (c) 4/3gH (d) gH/2 (e) √2gH What is the magnitude of the static frictional force in the flat section? (α) μ (b) μMg/2 (c) 2/3μMg (d) μMg (e) 0 There is log of mass "M", radius "R".You can consider it as a uniform solid cylinder (I=MR2/2). It rolls down a hill of height "H". After the hill it rolls on a flat surface and climbs the hill on the opposite side. The gravitational acceleration is "g", the angle of the second hill is o.The coefficient of friction "" is sufficient to prevent sliding and there are no rolling losses. What is the conserved quantity in this motion? (a) Angular momentum (b) Kinetic energy (c) Linear momentum (d) Potential energy (e) Mechanical energy What is the kinetic energy of the log at the bottom? (a) MgH (b) 0 (c) 2/3MgH (d) 3/2MgH (e) 1/2MgH What is the linear speed of the log at the bottom? (a) 2gH (b) 1/2gH (c) 4/3gH (d) gH/2 (e) √2gH What is the magnitude of the static frictional force in the flat section? (α) μ (b) μMg/2 (c) 2/3μMg (d) μMg (e) 0

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