A bullet of mass m is fired with a horizontal velocity vo into a wooden disk of

Question

A bullet of mass m is fired with a horizontal velocity vo into a wooden disk of much larger mass Mand radius R Determine the height h at which the bullet should be fired (o) If the disk is to roll without sliding immediately ofter impact (b) If the disk is to slide without rolling immediately after impact Vo O ( If the disk is to roll without sliding immediately after impact, h (b) If the disk is to slide without rolling immediately after impact, hR O (o If the disk is to roll without sliding immediately after impact hR (b) If the disk is to slide without rolling immediately after impact, h ¡R (a) If de dakis to roll without slidirng immediately after impact, h ?R (b) It the dsk is to slide without rolling immediately atter impact. hR ? (a) It the disk is to roll without Nang immediately atter impact, t O to n (b) lt the disk is to side wthout rolling immediately aftet impact, h References eBook & Resources Mutiple Choice O Type here to search ??

Explanation / Answer

Here if you shoot at the center of the disc all the impact energy gets converted into sliding action because at center all the particles have only translational motion no rolling motion

so for complete sliding after impact we should shoot at h=R

for for complete rolling after impact h>R h=3R/2

because

if h<R then impact momentum will oppose the weight it will not roll but slides+rolls

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