STUDENT PLT OF C172; OBSERVED BY HIS INSTRUCTOR IN ANOTHER C172; MADE A GAR FOLLOWING A BOUNCED HARD LNDG AND DISCOVERED A LOSS OF 'CTL.' AFTER A SAFE LNDG IT WAS DISCOVERED HE HAD SUFFERED A PROP STRIKE; WHICH CURLED BACK THE PROP TIPS AND REDUCED THRUST AVAILABLE.

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AFTER A HARD LNDG; I ROTATED AND BEGAN A CLBOUT AT WHICH TIME I NOTICED A DIMINISHED ABILITY TO PITCH THE ACFT FOR VX. I NOTIFIED THE TWR THAT I WAS HAVING DIFFICULTY WITH THE FLT CTLS. I TURNED BACK TOWARDS THE ARPT AT WHICH TIME MY FLT INSTRUCTOR; WHO WAS IN THE PATTERN; MANEUVERED TO FLY ALONG MY L SIDE. HE GUIDED ME IN A SLOW TURN TO LINE UP WITH RWY 13. I MADE A PWR ADJUSTMENT TO DSND AND LAND. THE TWR OFFERED TO ROLL THE EMER VEHICLES AND THE OFFER WAS DECLINED. I MADE A HARD LNDG ON THE NOSE SUBSEQUENTLY CAUSING A PROP STRIKE AND DAMAGE TO THE FIREWALL. I TAXIED THE ACFT TO THE RAMP AND SHUT THE ACFT DOWN. SUPPLEMENTAL INFO FROM ACN 582488: I WAS INSTRUCTED BY THE TWR TO ENTER A L DOWNWIND FOR RWY 8. THE TWR INFORMED ME THAT AN AIRPLANE FLOWN BY MY STUDENT WAS DEPARTING RWY 8. I FOUND THE TFC AS IT WAS ROTATING AND WATCHED AS IT CLBED OUT AT WHICH APPEARED TO BE A NORMAL PITCH ATTITUDE. THE TWR INFORMED THE DEPARTING TFC TO EXTEND THE UPWIND FOR SPACING. THE ACFT FAILED TO REPLY TO THE RADIO CALL SO THE TWR XMITTED A SECOND TIME. THIS TIME; THE STUDENT PLT REPLIED AND NOTIFIED THE TWR THAT HE WAS HAVING 'DIFFICULTY IN CLBING THE ACFT.' AT THIS TIME I WAS ABOUT TO TURN L BASE FOR RWY 8. THE TWR ASKED ME IF I HAD ANY SUGGESTIONS. I ASKED THE TWR FOR PERMISSION TO TURN AND FLY NEXT TO THE ACFT IN TROUBLE; SO THAT I COULD TRY TO SPOT WHAT MAY BE THE ISSUE. UNABLE TO DETERMINE THE PROB; I INSTRUCTED MY STUDENT TO SLOWLY TURN WITH ME SO THAT HE COULD LINE UP FOR A LNDG ON RWY 13. I FLEW THE L WING OF THE ACFT ALL THE WAY DOWN TO ABOUT 100 FT AGL BEFORE I LEVELED OFF AND OBSERVED HIS LNDG. THE LNDG WAS TO THE R OF THE CTRLINE OF THE RWY AND IT APPEARED TO STRIKE THE FRONT LNDG GEAR OF THE ACFT VERY HARD. THE STUDENT WAS ABLE TO STOP THE ACFT AND TAXI BACK TO THE RAMP. I REQUESTED A GAR AND L TFC FOR RWY 13. I LANDED AND TAXIED BACK TO THE RAMP. I SHUT THE ACFT DOWN AND WALKED OVER TO CHK ON MY STUDENT. AS I APCHED THE ACFT I NOTICED THAT THE PROP HAD THE VERY TIPS CURLED BACK. THE STUDENT WAS SHAKEN BUT OK. THE NEXT DAY; THE A&P NOTIFIED ME THAT THE NOSE GEAR AND FIREWALL HAD BEEN DAMAGED. AFTER FURTHER REVIEW OF THE INCIDENT; THE STUDENT PLT EXECUTED POOR JUDGEMENT AFTER THE FIRST LNDG WHICH WAS ALSO A HARD LNDG. HE SHOULD HAVE REALIZED THE ACFT COULD HAVE BEEN DAMAGED BY THE HARD LNDG AND CEASED THE TKOF ROLL.