Question

The diagram below shows a wooden mallet of uniform mass density on a pivot passing through the point marked with an "x" . The shaded and unshaded portions of the mallet are of equal mass. The mallet is released from rest in the orientation shown. Just after release what is the direction of the angular acceleration of the mallet? F36Into the page. Out of the page. Angular acceleration is zero. Insufficient information to tell. The mallet is replaced with a new mallet of identical size and shape, but greater uniform mass density. An identical experiment is performed (ie., same pivot point, same orientation, released from rest). After release, is the magnitude of the net torque about the pivot for the new mallet greater than, less than, or equal to the magnitude of the net torque for the original mallet? Greater than Less than Equal to Insufficient information to tell. We will again compare the original mallet to the new mallet with the greater uniform mass density. After release, is the magnitude of the angular acceleration about the pivot for the new mallet greater than, less than, or equal to the magnitude of the angular acceleration for the original mallet? Greater than Less than Equal to Insufficient information to tell.

Answer 1

here,

Question 4 :
The distance of Unshaded portion is greter so rotation will be anticlockwise direction or you can say into the page.

Question 5 :
Torque will be greater than case of original Mallet

Question 6 :
as angular acceleration is independent of mass therefore it will be same for both scenario.