Yeah. Here for the solution for the party. The vertical displacement before coming to rest the six metre calculate the angular displacement the drum will have in the process of coming to rest. Using the equation that heat equal to s by are here, as is the distance traveled by the cylinder and R is the radius of that room. Now substitute 6 m for s and 2 15 m for our and the question. So we get to take or to six metre by 2. 50 multiplied by 1 m by 1000. Mm. So from here we get angular velocity to take all to 24 ingredients. Now calculate the angular velocity of the drum. Initially using the equation Omega not equal to we buy are here vis the linear velocity of the drum. Initially. Now substitute 3 m per second for V and 2 50. 4 are here. By substituting the value, we get omega nautical to 3 m per second. Divided by 2. 50. Multiply by 1 m by 1000. Mm. And from here we get omega not equal to 12. Red purse, Second radiance per second. Since the drum comes to rest. The final, angular velocity of Trump is zero now Calgary The angular acceleration of the drum using the equation, Omega Square minus Omega Nordisk are equal to two alpha Tita. Here, Alpha is the angular acceleration, and omega is the final angular velocity. Now substitute 24 radiance, 40 to 12 radian per second for omega Note and zero for omega here. By substituting the value, we get zero square minus 12 historical to help for multiplied by 24. From here we get angle acceleration. It is difficult to minus three radian per second square. The angular acceleration is negative, implies the drum is decorating. Therefore, the angular acceleration of the trump is three radian per second square. Now for the part B. Calculate the time required for the drum to come to rest, using the equation that omega equal to omega, not plus 80. Now substitute minus three rate per second. Squared for alpha 12 8 per second for a big A note and zero for omega in the equation. Omega quartz, Omega net plus alpha T. So have I, substituting the value we get zero equal to 12 minus three multiplied military and from her media time equal to four seconds. Therefore the time required for the drum to come to the rest is for second. Now, this is a complete solution with the concept and the explanation. Step by. Step in detail. Please go through this. Thank you.