1. Two forces are acting on an object. Which of the following statements is corr

Question

1. Two forces are acting on an object. Which of the following statements is correct? a. The object is in equilibrium if the forces are equal in magnitude and opposite in direction The object is in equilibrium if the net torque on the object is zero The object is in equilibrium if the forces act at the same point on the object The object is in equilibrium if the net force and the net torque on the object is zero b. c. 2. A constant net nonzero torque is exerted on an object. Which of the following quantities cannot be constant for this object? More than one answer may be co a.) angular acceleration angular velocity c. moment of inertia d. angular momentum 3. A solid disk and a hoop are simultaneously released from rest at the top of an incline and roll down without slipping. Which object reaches the bottom first? on first? a.) the one that has the largest mass arrives first the one that has the largest radius arrives first ethe hoop arrives first the disk arrives first 4. The cars in a soapbox derby have no engines; they simply coast downhill. Which of the following design criteria is best from a competitive point of view? The car's wheels should have large moments of inertia a. b, be massive c. be hoop-like wheels rather than solid disks have small moments of inertia A mouse is initially at rest on a horizontal turntable mounted on a frictionless, vertical axle. As the mouse begins to walk clockwise around the perimeter, which of the following statements must be true of the turntable? 5. it also turns clockwise it turns counterclockwise with the same angular velocity as the mouse it remains stationary it turns counterclockwise because angular momentum is conserved a. d.

Explanation / Answer

1. basic condition for a object to be in equilibrium is net force zero(translational equilibrium) and net torque zero(rotational equilibrium).

so option d is correct

2. torque = moment of inertia * angular acceleration

as torque is constant and moment is inertia is constant for a particular axis so angular acceleration also constant.

but angular velocity is changing as there is accelaration.

angular momentum = moment of inertia * angular velocity

so angular momentum is not constant

so mark option b and d

3. as moment of inertia of disk is less than hoop so disk arrives first

option d

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