THIS QUESTION IS FROM ROTATIONAL DYNAMICS( which is angularmomentum, inertia and

Question

THIS QUESTION IS FROM ROTATIONAL DYNAMICS( which is angularmomentum, inertia and torque. Q#2 (A) If a force of 4.0N is needed to open a 81cm wide door whenapplied at the edge opposite the hinges. what force must be appliedwhen you push against the door 10cm from the hinged side? (B) A force of 303N is exerted on the end of a wrench in in order to apply a torque of 43.2 NM bolt head. the pointapplication of the force is 21.5cm from the center of the bolt.what angle does the force make with respect to the wrenchhandle? (C)A wheel whose moment of inertia is 32kgm2 is subjected to atorque of 12NM . if the wheel is initially moving with ananglular velocity of 6.0 rad/s when the torque is applied, whatwill its angular velocity be if the torque is applied for9.0s? (D) A toy airplan moves at the end of a string about a fixedpoint in a horizontal circleof 1.00m radius. if the linear speed is4.86m/s. what will the speed become ,if the string is pulled in togive a radius of 0.750m? Assum there is no net torque THIS QUESTION IS FROM ROTATIONAL DYNAMICS( which is angularmomentum, inertia and torque. Q#2 (A) If a force of 4.0N is needed to open a 81cm wide door whenapplied at the edge opposite the hinges. what force must be appliedwhen you push against the door 10cm from the hinged side? (B) A force of 303N is exerted on the end of a wrench in in order to apply a torque of 43.2 NM bolt head. the pointapplication of the force is 21.5cm from the center of the bolt.what angle does the force make with respect to the wrenchhandle? (C)A wheel whose moment of inertia is 32kgm2 is subjected to atorque of 12NM . if the wheel is initially moving with ananglular velocity of 6.0 rad/s when the torque is applied, whatwill its angular velocity be if the torque is applied for9.0s? (D) A toy airplan moves at the end of a string about a fixedpoint in a horizontal circleof 1.00m radius. if the linear speed is4.86m/s. what will the speed become ,if the string is pulled in togive a radius of 0.750m? Assum there is no net torque

Explanation / Answer

NOTE: a user is not allowed to ask multiple questions in one post.Therefore i am answering each question in a separate post, and hopeto have each rated appropriately A) r=0.81m Torque()=F.r =4*0.81       =3.24Nm so if r=0.1m, Torque remains constant.... so: 3.24=F*0.1 F=32.4N

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