Derive the expression of acceleration of an object when it perfectly rolls down a rough inclined surface
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An object is placed on the surface of a smooth inclined plane of inclination θ . It takes time t to reach the bottom. If the same objective is allowed to slide down a rough inclined plane of same inclination , it takes nt to reach the bottom where n is a number greater than 1. The coefficient of friction is given by.
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ꜰᴏʀ ᴀ ꜰʀɪᴄᴛɪᴏɴʟᴇꜱꜱ ɪɴᴄʟɪɴᴇ ᴏꜰ ᴀɴɢʟᴇ ᴅᴇɢʀᴇᴇꜱ, ᴛʜᴇ ᴀᴄᴄᴇʟᴇʀᴀᴛɪᴏɴ ɪꜱ ɢɪᴠᴇɴ ʙʏ ᴛʜᴇ ᴀᴄᴄᴇʟᴇʀᴀᴛɪᴏɴ ᴏꜰ ɢʀᴀᴠɪᴛʏ ᴛɪᴍᴇꜱ ᴛʜᴇ ꜱɪɴᴇ ᴏꜰ ᴛʜᴇ ᴀɴɢʟᴇ.
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